113131131311 has 16 divisors (see below), whose sum is σ = 131197622400. Its totient is φ = 96468804000.

The previous prime is 113131131287. The next prime is 113131131353.

It is a happy number.

113131131311 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 113131131311 - 2¹⁴ = 113131114927 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 (113131131611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2658581 + ... + 2700798.

It is an arithmetic number, because the mean of its divisors is an integer number (8199851400).

Almost surely, 2^113131131311 is an apocalyptic number.

113131131311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113131131311 is a deficient number, since it is larger than the sum of its proper divisors (18066491089).

113131131311 is a wasteful number, since it uses less digits than its factorization.

113131131311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5359510.

The product of its digits is 81, while the sum is 20.

It can be divided in two parts, 113131 and 131311, that added together give a palindrome (244442).

The spelling of 113131131311 in words is "one hundred thirteen billion, one hundred thirty-one million, one hundred thirty-one thousand, three hundred eleven".