31011133111013 has 16 divisors (see below), whose sum is σ = 34272493286400. Its totient is φ = 27823757610480.

The previous prime is 31011133110977. The next prime is 31011133111019.

It is a happy number.

31011133111013 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 31011133111013 - 2¹⁰ = 31011133109989 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31011133111019) 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, 5119331 + ... + 9393072.

It is an arithmetic number, because the mean of its divisors is an integer number (2142030830400).

Almost surely, 2^{31011133111013} is an apocalyptic number.

It is an amenable number.

31011133111013 is a deficient number, since it is larger than the sum of its proper divisors (3261360175387).

31011133111013 is a wasteful number, since it uses less digits than its factorization.

31011133111013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14514952.

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

It can be divided in two parts, 3101113 and 3111013, that added together give a palindrome (6212126).

The spelling of 31011133111013 in words is "thirty-one trillion, eleven billion, one hundred thirty-three million, one hundred eleven thousand, thirteen".