I'd use at least 7018 to weld spring steel and preferably something like a 312 stainless, Super Misslie weld, etc.
I agree with Arc weld on this. 6013 is for mild steel, not high carbon steel such as springs.
I had a plowshare(high carbon) break in 4 pieces, years ago. I grabbed the nearest rod which was either 6011 or 6013 and welded them up. In less than a minute, every weld cracked with some little sharp "tink" "tink" noises when they started cooling down. I immediately realized I had used the wrong electrode and went back with 7018. I guess if 6013 is all you have it wouldn't hurt to give it a try and see, as long as it's non-critical.