The #1 on Inkigayo on 2013-12-29 was “Friday” by — — win No. 1 for the song and career win No. 10 for — (No. 1 on this show).
“Friday” has 1 music show wins in total: 2013-12-29 Inkigayo. — had 5 wins in 2013 up to this date, and this was the artist's first win on Inkigayo. The previous week's Inkigayo #1 was “Miracles in December” by Exo. Episode data comes from broadcasters' published results (Wikipedia lists, CC BY-SA) and is recounted daily.