113137129 has 12 divisors (see below), whose sum is σ = 132354000. Its totient is φ = 96425448.

The previous prime is 113137117. The next prime is 113137147. The reversal of 113137129 is 921731311.

It is not a de Polignac number, because 113137129 - 2⁵ = 113137097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 113137097 and 113137106.

It is not an unprimeable number, because it can be changed into a prime (113137169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2322 + ... + 15220.

It is an arithmetic number, because the mean of its divisors is an integer number (11029500).

Almost surely, 2^113137129 is an apocalyptic number.

It is an amenable number.

113137129 is a deficient number, since it is larger than the sum of its proper divisors (19216871).

113137129 is a wasteful number, since it uses less digits than its factorization.

113137129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13092 (or 13085 counting only the distinct ones).

The product of its digits is 1134, while the sum is 28.

The square root of 113137129 is about 10636.5938626987. The cubic root of 113137129 is about 483.6542977380.

The spelling of 113137129 in words is "one hundred thirteen million, one hundred thirty-seven thousand, one hundred twenty-nine".