113137 has 4 divisors (see below), whose sum is σ = 118080. Its totient is φ = 108196.

The previous prime is 113131. The next prime is 113143. The reversal of 113137 is 731311.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 731311 = 7 ⋅104473.

It is an interprime number because it is at equal distance from previous prime (113131) and next prime (113143).

It is a cyclic number.

It is not a de Polignac number, because 113137 - 2¹⁵ = 80369 is a prime.

It is a Duffinian number.

113137 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 113137.

It is not an unprimeable number, because it can be changed into a prime (113131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2437 + ... + 2482.

It is an arithmetic number, because the mean of its divisors is an integer number (29520).

2¹¹³¹³⁷ is an apocalyptic number.

It is an amenable number.

113137 is a deficient number, since it is larger than the sum of its proper divisors (4943).

113137 is an equidigital number, since it uses as much as digits as its factorization.

113137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4942.

The product of its digits is 63, while the sum is 16.

The square root of 113137 is about 336.3584397633. The cubic root of 113137 is about 48.3654113916.

Adding to 113137 its reverse (731311), we get a palindrome (844448).

The spelling of 113137 in words is "one hundred thirteen thousand, one hundred thirty-seven".