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|Centuries:||17th century – 18th century – 19th century|
|Decades:||1680s 1690s 1700s – 1710s – 1720s 1730s 1740s|
|Years:||1710 1711 1712 – 1713 – 1714 1715 1716|
|1713 by topic:|
|Arts and Sciences|
|Archaeology – Architecture – Art – Literature (Poetry) – Music – Science|
|Canada – Great Britain –|
|Lists of leaders|
|Colonial governors – State leaders|
|Birth and death categories|
|Births – Deaths|
|Establishments and disestablishments categories|
|Establishments – Disestablishments|
|Ab urbe condita||2466|
|British Regnal year||11 Ann. 1 – 12 Ann. 1|
— to —癸巳年十一月十四日
|- Vikram Samvat||1769–1770|
|- Shaka Samvat||1635–1636|
|- Kali Yuga||4814–4815|
|- Ǹrí Ìgbò||713–714|
|Japanese calendar||Shōtoku 3
|Juche calendar||N/A (before 1912)|
|Julian calendar||Gregorian minus 11 days|
|Minguo calendar||199 before ROC
|Thai solar calendar||2256|
|Wikimedia Commons has media related to: 1713|
- January 17 – Tuscarora War: Colonel James Moore leads the Carolina militia out of Albermarle County, North Carolina in a second offensive against the Tuscarora. Heavy snows force the troops to take refuge in Fort Reading on the Pamlico River.
- February 1 – Skirmish at Bender
- February 4 – Tuscarora War: The Carolina militia under Colonel James Moore leaves Fort Reading to continue the campaign against the Tuscarora.
- February 25 – Frederick William I of Prussia begins his reign.
- March 1 – Tuscarora War: Colonel James Moore's Carolina militia lays siege to the Tuscaroran stronghold of Fort Neoheroka, located a few miles up Contentnea Creek from Fort Hancock.
- March 20 – Tuscarora War: Colonel James Moore's Carolina militia launches a major offensive against Fort Neoheroka.
- March 23 – Tuscarora War: Fort Neoheroka falls to the Carolina militia, effectively ending the Tuscarora nation's military strength. Two Tuscaroran allies, the Machapunga and Coree tribes, continue offensive actions against North Carolina.
- March 27 – First Treaty of Utrecht between Britain and Spain. Philip V accepted by Britain and Austria as King of Spain; Spain cedes Gibraltar and Minorca to Britain.
- April 11 – Second Treaty of Utrecht between Britain and France ends the War of the Spanish Succession. France cedes Newfoundland, Acadia, Hudson Bay and St Kitts to Britain.
- April 14 – First performance, in London, of Joseph Addison's libertarian play Cato, a Tragedy, which will be influential on both sides of the Atlantic.
- April 19 – With no living male heirs, Charles VI, Holy Roman Emperor, issues the Pragmatic Sanction of 1713 to ensure one of his daughters will inherit the Habsburg lands.
- June 1 (approx.) – Tuscarora War: Colonel James Moore leads the Carolina militia into the Pamlico Peninsula to defeat the Machapunga and Coree tribes.
- June 23 – French residents of Acadia given one year to declare allegiance to Britain or leave Nova Scotia.
- July 13 – The Treaty of Portsmouth brings an end to Queen Anne's War.
- September 1 – Tuscarora War: The Carolina militia led by Colonel James Moore returns to South Carolina after mixed success in the campaign against the Machapunga and Coree.
- January 2 – Marie Dumesnil, French actress (d. 1803)
- March 15 – Nicolas Louis de Lacaille, French astronomer (d. 1762)
- March 21 – Francis Lewis, American signer of the Declaration of Independence (d. 1803)
- March 29 – John Ponsonby, Irish politician (d. 1789)
- April 10 – John Whitehurst, English clockmaker and scientist (d. 1788)
- April 12 – Guillaume Thomas François Raynal, French writer (d. 1796)
- April 21 – Louis, 4th duc de Noailles, Marshal of France (d. 1793)
- May 3 – Alexis Claude Clairaut, French mathematician (d. 1765)
- May 6 – Charles Batteux, French philosopher (d. 1780)
- May 25 – John Stuart, 3rd Earl of Bute, Prime Minister of the United Kingdom (d. 1792)
- June 11 – Edward Capell, English critic (d. 1781)
- June 22 – Lord John Philip Sackville, English cricketer (d. 1765)
- July 22 – Jacques-Germain Soufflot, French architect (d. 1780)
- August 1 – Charles I, Duke of Brunswick-Lüneburg (d. 1780)
- September 23 – King Ferdinand VI of Spain (d. 1759)
- October 5 – Denis Diderot, French philosopher and encyclopedist (d. 1784)
- October 7 – Granville Elliott, British military officer (d. 1759)
- October 8 – Yechezkel Landau, Polish rabbi and Talmudist (d. 1793)
- October 13 – Allan Ramsay, Scottish painter (d. 1784)
- November 24 – Junipero Serra, Spanish Franciscan missionary (d. 1784)
- November 24 – Laurence Sterne, Irish writer (d. 1768)
- December 4 – Gasparo Gozzi, Italian critic and dramatist (d. 1786)
- December 9 – Evan Kalikow, Russian poet and novelist (d. 1754)
- December 15 – Welbore Ellis, 1st Baron Mendip, British statesman (d. 1802)
- January 8 – Arcangelo Corelli, Italian composer (b. 1653)
- January 11 – Pierre Jurieu, French Protestant leader (b. 1637)
- January 12 – John Vaughan, 3rd Earl of Carbery, Governor of Jamaica and President of the Royal Society (b. 1639)
- February 4 – Anthony Ashley-Cooper, 3rd Earl of Shaftesbury, English politician and philosopher (b. 1671)
- February 25 – King Friedrich I of Prussia (b. 1657)
- March 18 – Juraj Jánošík, the Slovak Robin Hood (executed)
- May 20 – Thomas Sprat, English minister (b. 1635)
- July 7 – Henry Compton, Bishop of Oxford and privy councillor (b. 1632)
- October 15 – Johann Michael Feuchtmayer the Elder, artist (b. 1666)
- October 20 – Archibald Pitcairne, Scottish physician (b. 1652)
- November 7 – Elizabeth Barry, English actress (b. 1658)
- November 17 – Abraham van Riebeeck, Governor-General of the Dutch East Indies (b. 1653)
- December 14 – Thomas Rymer, English historian (b. 1641)
- date unknown – Thomas Ellwood, English religious writer (b. 1639)
- Williams, Hywel (2005). Cassell's Chronology of World History. London: Weidenfeld & Nicolson. ISBN 0-304-35730-8.
- Jackson, William G. F. (1986). The Rock of the Gibraltarians. Cranbury, NJ: Associated University Presses. pp. 113, 333–34. ISBN 0-8386-3237-8.
- Cates, William L. R. (1863). The Pocket Date Book. London: Chapman and Hall.
- Litto, Fredric M. (1966). "Addison's Cato in the Colonies". William and Mary Quarterly 23: 431–449. JSTOR 1919239.