Is the T-Mobile iPhone 5 factory unlocked?

I was thinking about buying an iPhone 5 off of my friend who has T-Mobile. I was wondering if it's an iPhone 5, and its being used on T-Mobile, would it be factory unlocked already? I have AT&T, so if I were to just buy it, and put in the new nano sim from AT&T, would the iPhone 5 work flawlessly on the AT&T network with the LTE and everything working perfectly?

No they are not. Only the Verizon model is.

You'd have to get it unlocked.

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