To convert the distance from centimeters to inches, we can use the conversion factor:
1 inch = 2.54 cm
Now, let's convert the given measurement in centimeters to inches:
Distance in inches = Distance in centimeters / 2.54
Distance in inches = 13.1 cm / 2.54 cm/inch
Distance in inches ≈ 5.15748 inches
Rounding to the nearest hundredth, the distance from the top to the bottom of Jack's cell phone is approximately 5.16 inches.