113331313231013 has 16 divisors (see below), whose sum is σ = 119863532053440. Its totient is φ = 106855852924800.

The previous prime is 113331313230991. The next prime is 113331313231039. The reversal of 113331313231013 is 310132313133311.

It is not a de Polignac number, because 113331313231013 - 2¹⁴ = 113331313214629 is a prime.

It is a super-7 number, since 7×113331313231013⁷ (a number of 100 digits) contains 7777777 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113331313231093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276660881 + ... + 277070217.

It is an arithmetic number, because the mean of its divisors is an integer number (7491470753340).

Almost surely, 2^{113331313231013} is an apocalyptic number.

It is an amenable number.

113331313231013 is a deficient number, since it is larger than the sum of its proper divisors (6532218822427).

113331313231013 is a wasteful number, since it uses less digits than its factorization.

113331313231013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478628.

The product of its (nonzero) digits is 4374, while the sum is 29.

Adding to 113331313231013 its reverse (310132313133311), we get a palindrome (423463626364324).

The spelling of 113331313231013 in words is "one hundred thirteen trillion, three hundred thirty-one billion, three hundred thirteen million, two hundred thirty-one thousand, thirteen".