How many miles should my brake pads last?

I have a 2014 Ford Escape. It only has 13000 miles but it sounds like the brakes are squeaking. I've towed a pop-up camper before (probably 500 total miles). Does towing wear out the brakes that dramatically?

Depends on how you use them and how much. Could be 10,000 miles or 100,000. I doubt it's due to towing a camper 500 miles.

Squeaking doesn't necessarily mean they need replacing some cheaper pads can start to squeak naturally, you should be getting more than 13000 miles out of them. Closer to 30k is the typical life of them.

1. Squeaking does not mean the brakes pads are worn out - new brake pads will squeal if fitted incorrectly or not greased properly
2. Obviously towing means more weight to slow down and stop so more brake wear occurs. How "dramatically" that occurs will be down to the amount of towing to not towing use and the driving style along with the terrain so do not expect an answer that will mean anything on that
3. The front brake pads should be OK for around 20 to 25000 and the rears longer when used normally

Towing a camper will cause the brakes to wear faster if you did allot of stopping, but not to the extent your pads would wear out in 13,000 miles. You are assuming they are worn out. Inspect them to see. If they are then you have a problem somewhere. This car is still under warranty so let the Ford dealer figure it out. I would not mention I had towed anything to the dealer.