Hello aspirant, 

As you mentioned your rank   ap pgecet  as 2613 ..yes ..you can get good colleges with your rank ,and category ..

Some colleges are as fallow:-

• Narasaraopeta Engineering college
•  KKR and KSR institute of technology and science
• NRI institute of technology
• Sasi institute of technology and engineering
• Aditya college of engineering
• Annamacharya institute of technology and science
• SRK institute of technology
• GMT institute of technology

Hope this helps

Good luck