Chris: If you're like me, you'll purchase the part and try to figure out if it fits AFTER you get it home.
Seriously, if you follow the "Cub Cadets Parts Lookup" link grouped with the Forum's Sponsor Links above, and choose "2000 Series" and find your tractor in the listing, there is a sub-category called "Attachments" and all the attachments which will fit your tractor appear there with model numbers listed.
I checked out the link, and both the Model 2130 and Model 2135 were produced in the same Serial Number "batches;" the first batch were manufactured in the S/N run from 239,001 to 326,005, the second batch were produced with S/N 326,006 on up.
Fortunately for you, all four listings report the same three snow throwers will fit:
1. Model 303 40" snow thrower, the attachment should be marked "190-303-100"
2. Model 340 40" snow thrower, the attachment should be marked "190-340-100"
3. Model 341 42" snow thrower, the attachment should be marked "190-341-100"
So, go for it!
But be sure to specify your Serial Number when ordering parts for your tractor, evidently there were some differences between the two S/N runs.