How long is one Saturn month?

What do you mean by "Saturn month"?

On Earth, a "month" is based upon the time it takes the Moon to orbit the Earth or to go through its phases.

Saturn has several large moons; you can look up their periods of revolution around Saturn if you like.

Titan is easily Saturn's largest moon

You could define a "Saturn month" based on Titan's period of revolution, but there is no such term in general use.