4 players were tied for the most games by a quarterback with 1+ passing touchdown in 2013, with 16 games. The first three are Philip Rivers, Drew Brees and Ben Roethlisberger.

what is the most 1 passing touchdown games by an nfl quarterback in a season in 2013
Interpreted as:
What is the most 1 or more passing touchdown games by an NFL quarterback in a season in 2013?
2013Rivers2013Brees2013Roethlisberger2013Manning2013Palmer2013Romo2013Ryan2013Brady2013Newton2013Stafford2013Tannehill2013Wilson2013Dalton2013Manning2013Kaepernick2013Luck2013Flacco2013Glennon2013Foles2013Cutler2013Fitzpatrick2013Henne2013Griffin1616161615151514141414141313121212111010999
NAMESEASONTMGPTDCMPATTPCTYDSAVGYDS/GTD%INTINT%SCKSCKYRATE
Philip RiversPhilip Rivers2013SDSD163237854469.54,4788.2279.95.9112.030150105.5
Drew BreesDrew Brees2013NONO163944665068.65,1627.9322.66.0121.837244104.7
Ben RoethlisbergerBen Roethlisberger2013PITPIT162837558464.24,2617.3266.34.8142.44228292.0
Peyton ManningPeyton Manning2013DENDEN165545065968.35,4778.3342.38.3101.518120115.1
Carson PalmerCarson Palmer2013ARIARI152434453764.14,0877.6272.54.5203.73726386.6
Tony RomoTony Romo2013DALDAL153134253563.93,8287.2255.25.8101.93527296.7
Matt RyanMatt Ryan2013ATLATL152640961266.84,2236.9281.54.2172.83927089.1
Tom BradyTom Brady2013NENE142534054462.53,9187.2279.94.691.73220292.6
Cam NewtonCam Newton2013CARCAR142425540263.42,9027.2207.36.092.23325895.6
Matthew StaffordMatthew Stafford2013DETDET142933656759.34,2777.5305.55.1173.02115387.5
Ryan TannehillRyan Tannehill2013MIAMIA142432553361.03,6236.8258.84.5173.24833382.9
Russell WilsonRussell Wilson2013SEASEA142622235362.92,9778.4212.67.482.337236104.7
Andy DaltonAndy Dalton2013CINCIN133328846462.13,5377.6272.17.1153.21811095.8
Eli ManningEli Manning2013NYGNYG131826245857.23,2977.2253.63.9214.62820373.7
Colin KaepernickColin Kaepernick2013SFSF122119331860.72,6308.3219.26.630.925152105.2
Andrew LuckAndrew Luck2013INDIND122326844660.13,0296.8252.45.271.62416891.1
Joe FlaccoJoe Flacco2013BALBAL121928548259.12,9906.2249.23.9193.93926473.9
Mike GlennonMike Glennon2013TBTB111921736958.82,2706.2206.45.182.22822784.9
Nick FolesNick Foles2013PHIPHI102717526167.02,5139.6251.310.320.822136129.4
Jay CutlerJay Cutler2013CHICHI101922134763.72,5937.5259.35.5113.21812691.3
Ryan FitzpatrickRyan Fitzpatrick2013TENTEN91418529762.32,1177.1235.24.793.0178986.8
Chad HenneChad Henne2013JAXJAX91319732660.41,9305.9214.44.072.12012381.5
Robert Griffin IIIRobert Griffin III2013WASWAS91618430959.52,2227.2246.95.282.62717788.1
Alex SmithAlex Smith2013KCKC92319431262.22,1506.9238.97.441.320111101.8
Matt CasselMatt Cassel2013MINMIN81114924860.11,7607.1220.04.493.6168581.4
StatMuse has game-level data for passing touchdowns going back to the 1950 season.

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