113113131 has 8 divisors (see below), whose sum is σ = 151119360. Its totient is φ = 75257832.

The previous prime is 113113123. The next prime is 113113157. The reversal of 113113131 is 131311311.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 113113131 - 2³ = 113113123 is a prime.

It is a super-2 number, since 2×113113131² = 25589160809246322, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 113113131.

It is not an unprimeable number, because it can be changed into a prime (113113171) 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 7 ways as a sum of consecutive naturals, for example, 35971 + ... + 38988.

It is an arithmetic number, because the mean of its divisors is an integer number (18889920).

Almost surely, 2^113113131 is an apocalyptic number.

113113131 is a deficient number, since it is larger than the sum of its proper divisors (38006229).

113113131 is an equidigital number, since it uses as much as digits as its factorization.

113113131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75465.

The product of its digits is 27, while the sum is 15.

The square root of 113113131 is about 10635.4657161781. The cubic root of 113113131 is about 483.6200986597.

Adding to 113113131 its reverse (131311311), we get a palindrome (244424442).

The spelling of 113113131 in words is "one hundred thirteen million, one hundred thirteen thousand, one hundred thirty-one".