2013 F150 Towing?

You need to post all the specs on your F150 to really know where you stand. Remaining payload is the very first thing you need to look at and you’d need to weigh the TV to know that. If the TT doesn’t exceed any ratings it will pull it. I don’t have any experience with that much weight, but from reading these posts for a long time my feeling is you will looking for a bigger TV in a short time. The flats may be OK, but any grades will not be a fun experience.