113131332013311 has 48 divisors (see below), whose sum is σ = 171083858669568. Its totient is φ = 71949540297600.

The previous prime is 113131332013261. The next prime is 113131332013379. The reversal of 113131332013311 is 113310233131311.

113131332013311 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 3 + 1 + 3 + 320 + 1 + 331 + 1 = 666.

It is not a de Polignac number, because 113131332013311 - 2¹⁰ = 113131332012287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113131332013811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137599435 + ... + 138419171.

It is an arithmetic number, because the mean of its divisors is an integer number (3564247055616).

Almost surely, 2^{113131332013311} is an apocalyptic number.

113131332013311 is a deficient number, since it is larger than the sum of its proper divisors (57952526656257).

113131332013311 is a wasteful number, since it uses less digits than its factorization.

113131332013311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826812 (or 826809 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

Adding to 113131332013311 its reverse (113310233131311), we get a palindrome (226441565144622).

The spelling of 113131332013311 in words is "one hundred thirteen trillion, one hundred thirty-one billion, three hundred thirty-two million, thirteen thousand, three hundred eleven".