31131013133 has 16 divisors (see below), whose sum is σ = 34144707264. Its totient is φ = 28148290560.

The previous prime is 31131013117. The next prime is 31131013157. The reversal of 31131013133 is 33131013113.

It is a cyclic number.

It is not a de Polignac number, because 31131013133 - 2⁴ = 31131013117 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 (31131010133) 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, 1749266 + ... + 1766972.

It is an arithmetic number, because the mean of its divisors is an integer number (2134044204).

Almost surely, 2^31131013133 is an apocalyptic number.

It is an amenable number.

31131013133 is a deficient number, since it is larger than the sum of its proper divisors (3013694131).

31131013133 is a wasteful number, since it uses less digits than its factorization.

31131013133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18572.

The product of its (nonzero) digits is 243, while the sum is 20.

Subtracting from 31131013133 its sum of digits (20), we obtain a palindrome (31131013113).

Adding to 31131013133 its reverse (33131013113), we get a palindrome (64262026246).

The spelling of 31131013133 in words is "thirty-one billion, one hundred thirty-one million, thirteen thousand, one hundred thirty-three".