113012523 has 32 divisors (see below), whose sum is σ = 184726080. Its totient is φ = 67841280.

The previous prime is 113012509. The next prime is 113012539. The reversal of 113012523 is 325210311.

113012523 is a `hidden beast` number, since 1 + 130 + 12 + 523 = 666.

It is not a de Polignac number, because 113012523 - 2¹⁴ = 112996139 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113012496 and 113012505.

It is not an unprimeable number, because it can be changed into a prime (113012503) 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 31 ways as a sum of consecutive naturals, for example, 10465 + ... + 18317.

It is an arithmetic number, because the mean of its divisors is an integer number (5772690).

Almost surely, 2^113012523 is an apocalyptic number.

113012523 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

113012523 is a deficient number, since it is larger than the sum of its proper divisors (71713557).

113012523 is a wasteful number, since it uses less digits than its factorization.

113012523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7916 (or 7910 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 113012523 is about 10630.7348287877. The cubic root of 113012523 is about 483.4766715049.

Adding to 113012523 its reverse (325210311), we get a palindrome (438222834).

It can be divided in two parts, 11301 and 2523, that added together give a cube (13824 = 24³).

The spelling of 113012523 in words is "one hundred thirteen million, twelve thousand, five hundred twenty-three".