113000013 has 24 divisors (see below), whose sum is σ = 186870528. Its totient is φ = 64456992.

The previous prime is 113000009. The next prime is 113000023. The reversal of 113000013 is 310000311.

It is not a de Polignac number, because 113000013 - 2² = 113000009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 112999959 and 113000004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113000023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44956 + ... + 47402.

It is an arithmetic number, because the mean of its divisors is an integer number (7786272).

Almost surely, 2^113000013 is an apocalyptic number.

It is an amenable number.

113000013 is a deficient number, since it is larger than the sum of its proper divisors (73870515).

113000013 is a wasteful number, since it uses less digits than its factorization.

113000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3193 (or 3190 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 113000013 is about 10630.1464242032. The cubic root of 113000013 is about 483.4588312509.

Adding to 113000013 its reverse (310000311), we get a palindrome (423000324).

The spelling of 113000013 in words is "one hundred thirteen million, thirteen", and thus it is an aban number.