I've had my very nice 13-3 3" for almost 20 years, which explains why I paid, as I remember, less than $400. Since then I think I've seen three others in person. Most recent was back in December, a very nice condition 13-3, with box, for $850. It was gone in a day, along with a mint 65-3 3", also with box, also $850. If I found a 3" 13 for $700 I'd grab it. 3" K frames are very, very popular right now.
My particular Model 13 was never an FBI service revolver, but it was my service revolver for a little while. It replaced my 4" Model 19. I stopped carrying it when it occurred to me how tough it would be to replace. A blue GP-100 3" took it's place.