113022013 has 32 divisors (see below), whose sum is σ = 134064000. Its totient is φ = 94369536.

The previous prime is 113021983. The next prime is 113022047. The reversal of 113022013 is 310220311.

It is not a de Polignac number, because 113022013 - 2¹⁷ = 112890941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 113021984 and 113022002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113022053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 758463 + ... + 758611.

It is an arithmetic number, because the mean of its divisors is an integer number (4189500).

Almost surely, 2^113022013 is an apocalyptic number.

113022013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113022013 is a deficient number, since it is larger than the sum of its proper divisors (21041987).

113022013 is a wasteful number, since it uses less digits than its factorization.

113022013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 113022013 is about 10631.1811667378. The cubic root of 113022013 is about 483.4902041208.

Adding to 113022013 its reverse (310220311), we get a palindrome (423242324).

The spelling of 113022013 in words is "one hundred thirteen million, twenty-two thousand, thirteen".