The song entered the New Zealand Singles Chart at number five, later peaking at the top spot. It sold over 1,000 copies in the week following its release. It spent a total of twelve weeks at number one, and became the top single of 2003. This is the most weeks at number one by a New Zealand artist, and the second most for any song, tied with Freddie Fender's "Wasted Days and Wasted Nights". During its run at number one, The Crusader was released, and debuted at number one on the New Zealand Albums Chart. This was the first time in the charts' histories that a New Zealand artist simultaneously topped the singles and albums chart. In its tenth charting week, it was certified platinum.
In 2010, the list of the top 10 New Zealand singles of the 2000s (decade) was compiled. "Stand Up"/"Not Many" was the third best-selling single of the decade. Scribe was the only artist with two singles on the list, with "Stop the Music" listed at number nine.
A judging panel by Television New Zealand rated the video the fourth best New Zealand music video, calling it a "Kiwi classic" and "one of the turning points in the commercialisation and mainstream acceptance of local hip-hop." It won the C4 Best Music Video award at the New Zealand Music Awards.