Ford F-150 what do I need for towing?

I would make one correction; with a few caveats it's rated to tow 13,200 lbs. Such as it has to have the Heavy Duty Payload Package (HDPP), 157" WB, 20-inch wheels, to name a few. You have to check the Payload sticker on the door of the truck to be sure of what you are getting.

Yeah the F150HDPP is the only F150 that can come close to towing certain types of 13k lb trailers. A F150 with the small 7050 gvwr and 3800 rawr simply doesn't have enopugh rear axle capacity to carry a hitch load from a 13k lb rv trailer.
Tow means to carry and pull.

Many F150 owners bit into the max tow option thinking it allows a f150 to tow the max. Don't get me wrong but the max tow option is worth the extra cost.
All the max tow option is per Ford ;
• 3.55 Electronic-locking rear-axle
• 4-pin/7-pin wiring harness
• 36 Gallon fuel tank
• Auxiliary transmission oil cooler
• Engine oil cooler
• Class IV trailer hitch receiver
• Pro Trailer Backup Assist with Tailgate LED
• Smart Trailer Tow Connector (standard on LARIAT and higher)
• Integrated Trailer Brake Controller
• Upgraded front stabilizer bar
• Upgraded rear bumper
And of course the different cab and engine configurations.

I'll list the top F150 for towing...starts with
...the 7850 GVWR and 4800 rawr good for up to 2500 lbs or so in the bed.

...next down is a 7600 gvwr and 4550 rawr good for maybe 2200 lbs in the bed.

...then a 7050 gvwr with 4050 rwar good for around 1800 lbs in the bed.

...6800 gvwr and tiny 3800 rawr good for approx 1500 lb in the bed.
All truck above can be had with the "max tow " option.

And other F150 with smaller gvwr and rawrs....real grocery getters.

Those yellow payload stickers are a GVWR based payload which may overload the rear axle. Some of it may have to be placed on the trucks front axle such as work trucks full overhead racks like we see on overhead door service trucks folks use.