13500 has a better chance of working on a 15 amp-shore power. It is only slightly over 80% of the continuous rating on such an outlet.
Regards, Don
My ride is a 28 foot Class C, 256 watts solar, 556 amp-hours of Telcom jars, 3000 watt Magnum hybrid inverter, Sola Basic Autoformer, Microair Easy Start.