Hello Nida

You has performed very well if your having Karnataka Domicile then you can get even government medical colleges.

You rank is 13356 and closing rank for government medical colleges goes to even 100000.

Yes you can get private medical college also.

You can have a look out to last year's Neet cut off using this link:

https://medicine.careers360.com/articles/neet-cutoff-karnataka

You can also use college predictor to predict your College:

https://medicine.careers360.com/neet-college-predictor

So I hope you find this helpful 

Thank you 

Good luck.