Hello Venkat, 

According to your rank of 1337 in APICET you might be able to get the C ranked colleges. According to your rank range that is 1001 - 1500, your marks should be between 110 - 101. The colleges that you might be eligible for include -

1- Madanapalle Institute of Technology and Science, Chittoor

2- Prasad V. Potluri Siddhartha Institute of Technology - [PVPSIT], Vijayawada

3- Pydah College of Engineering and Technology, Visakhapatnam

4- Rajeev Gandhi Memorial College of Engineering and Technology Nandyal - [RGMCET], Kurnool

5- SRK Institute of Technology, Vijayawada

You can also apply at -

1- Shri Vishnu Engineering College for Women - [SVECW], Bhimavaram

2- Sir C R Reddy College of Engineering, ELURU

3- Vignan's Institute of Information Technology - [VIIT], Visakhapatnam

4- Vasireddy Venkatadri Institute of Technology - [VVIT], Guntur

5- Vignan's Lara Institute of Technology and Science - [VLITS], Guntur

I hope this helped. 

All the best!!