That's a mighty fine 513S. I always wanted one, but they're scarce.
I have a 511, 512, 512P & a 521T. I also gave another 521T to my younger son.
My 511 looks like death warmed over: pd. $32.00 for it in '75 from a pawn shop. It is the most accurate rifle I own. The prior owner tried to mount a side mount for a scope by attaching it to the stock.....a real "Bubba". It shoots so well that I left the stock as is. With the stock open sights no squirrel is safe.
I like all of the 500 series Remingtons.
Henry