Can an iPhone 13 with a repaired cracked back be traded in?

With a crack, it can't be traded.

If you or a third party fixes it, it can't be traded.

If Apple fixes it the cost may exceed the trade in.

Bit of a catch 22

You might want to check and see if your carrier has any trade in offers currently available. Carriers typically don’t care if it’s a third party repair. They also generally allow a lot more for trade ins than Apple.

Assuming that only the back of the phone needs repairs, Apple will charge about $350 for this service. Other repairs.....if they are needed......will add to the cost.

It is not possible to know the actual trade in value that Apple would allow at this point, but a guesstimate would be in the $125 - $150 range.

Re: “It is not possible to know the actual trade in value that Apple would allow at this point, but a guesstimate would be in the $125 - $150 range.”

I believe I looked it up on the trade-in site yesterday, and the most Apple will offer for a regular iPhone 13 in good condition is $180. So if the repairs needed to get the $180 (best case) credit cost at least $350, that would put the OP at least $170 underwater.

I sold a faulty iphone 12 on eBay UK for £75 ($80) Provided the description is honest it's another option.

My take, buy a new phone, keep this as a spare, maybe buy a stick-on back repair.

There are carriers in US that will give you $1,000 trade in on an iPhone 17 Pro model. iPhone can be in any condition and be a 13 model or newer. What’s the catch? The credit ($1000) is divided by 36 months, you must subscribe to an unlimited plan and that’ll cost about $60 a month.

Let’s see $60 x 36 months = $2160, then subtract $1000 = $1160 and divide by 36 equals $32 a month and you have a new iPhone 17 Pro and unlimited plan for around $32 a month, interest free.