113204013 has 16 divisors (see below), whose sum is σ = 162770496. Its totient is φ = 69569280.

The previous prime is 113203933. The next prime is 113204027. The reversal of 113204013 is 310402311.

It is not a de Polignac number, because 113204013 - 2¹⁰ = 113202989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113203983 and 113204001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113200013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36618 + ... + 39588.

It is an arithmetic number, because the mean of its divisors is an integer number (10173156).

Almost surely, 2^113204013 is an apocalyptic number.

113204013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113204013 is a deficient number, since it is larger than the sum of its proper divisors (49566483).

113204013 is a wasteful number, since it uses less digits than its factorization.

113204013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3964.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 113204013 is about 10639.7374497682. The cubic root of 113204013 is about 483.7495872974.

Adding to 113204013 its reverse (310402311), we get a palindrome (423606324).

The spelling of 113204013 in words is "one hundred thirteen million, two hundred four thousand, thirteen".