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113 is a prime number from 101-200. 113 is prime because it only has 2 factors, 1 and 113. It is the 30th prime number, and the fifth prime number between 101 to 200.

## As an Exponent of Mersenne Number

2113 - 1 is divisible by numbers such as 3,391, 23,279, and 65,993, and is therefore not a prime number.

## ​Relationship with other odd numbers

### The numbers before

• The previous odd number, 111, is not a prime number. It can be factorized into 3 x 37.
• The odd number previous to 111 is 109. 109 is a prime number.
• 109 and 113 are four numbers apart; therefore, they are cousin primes.
• The odd number previous to 109 is 107. 107 is a prime number.
• 107 and 113 are six numbers apart; therefore, they are sexy primes.

### The numbers after

• The next prime number is 127. It features a huge gap, as 113 and 127 are fourteen numbers apart.
• Among the composite numbers between them:
• 115 is divisible by 5.
• 117 is divisible by 3.
• 119 is divisible by 7.
• 121 is divisible by 11. In addition, it is a square number.
• 123 is divisible by 3.
• 125 is divisible by 5. In addition, it is a cube number.
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