The maximum output current at PFM mode is 120mA. so PFM mode maybe not applicable if you require 130mA load capability.
The inductor calculation on COT mode:
1. decide switching freq, for example 300KHz
2. Calculate RT for Fsw=300KHz
The LM5165-Q1 in VSSOP-10 package is only available in fixed 3.3V version (P/N LM5165YQDGSRQ1). Connect the output directly to the VOUT/FB pin of the LM5165 (no feedback resistors required).
Note that you can use the LM5165 quickstart calculator…