If it has a 30A outlet on it, it will run a 13,500 unit, obviously provided its big enough to power it. You may need to put a hard start capacitor on your AC just to not overload your Genny during startup though.
A running 13,500 unit draws around 12-1300 Watts while running.....as stated, startup is where it draws more, but that Genny should still do a fine job.
2016 Grey Wolf 26DBH following a 2014 RAM 1500 Outdoorsman
Life is good...Live it!
(2014) Nights Camped - 16 in 6 trips (2015) Nights Camped - 20 in 6 trips
(2016) Nights Camped - 21 in 7 trips