What if we increase the base resistor to decrease the voltage at the base when we give a 1.3V input,Please correct me if I am wrongThe voltage at the base will never be more than about 0.7V. As it approaches that level, the transistor will turn on, and the current will flow from the 3.3V supply through the 10K resistor and drop Vce(on) across the collector-emitter junction. As AGA has mentioned there is no way to make this circuit reliable and repeatable. Every transistor will be different.
Here is a simulation that shows the transistor threshold in the neighborhood of 590mV to 605mV and Vce(on) at about 6mV. I can change the base resistor and the voltage won't change much.