113310123100013 has 24 divisors (see below), whose sum is σ = 134749219468032. Its totient is φ = 94961172174624.

The previous prime is 113310123099997. The next prime is 113310123100037. The reversal of 113310123100013 is 310001321013311.

It is not a de Polignac number, because 113310123100013 - 2⁴ = 113310123099997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113310123100913) 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, 22378481 + ... + 26970662.

It is an arithmetic number, because the mean of its divisors is an integer number (5614550811168).

Almost surely, 2^{113310123100013} is an apocalyptic number.

It is an amenable number.

113310123100013 is a deficient number, since it is larger than the sum of its proper divisors (21439096368019).

113310123100013 is an equidigital number, since it uses as much as digits as its factorization.

113310123100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49350201 (or 49350194 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 113310123100013 its reverse (310001321013311), we get a palindrome (423311444113324).

The spelling of 113310123100013 in words is "one hundred thirteen trillion, three hundred ten billion, one hundred twenty-three million, one hundred thousand, thirteen".