As long as it's only a short feeder run then 213 would be OK.
As the antenna is a co-linear I assume its use will be for, FM, local contacts and should be fine at 20mtrs.
If you plan any serious operating on the higher bands I would suggest that 6M is the highest you go with 213.
20mtrs will give you 1dB of loss.
At 2M it will be nearer 2dB and at 70cm over 3dB.
A 20mtr run of 58 at 70cm would have around 7dB of loss.
So 2M, and above, you really need something better than 213 for serious operating.
At VHF cable losses become more important as band noise is, hopefully, much lower than HF.
Which ever cable you choose make sure it is a recognised, reputable, brand.
There is lots of below par cable about, particularly 58 and 213.
At the height of the CB boom some tests I did on one source of 213 showed it was only just about usable at 30MHz.
In addition, if running it outside, I have found some 58 does not survive well in direct sunlight.
Cheers
Tony