31131233133 has 64 divisors (see below), whose sum is σ = 55796428800. Its totient is φ = 14910658560.

The previous prime is 31131233101. The next prime is 31131233167. The reversal of 31131233133 is 33133213113.

It is not a de Polignac number, because 31131233133 - 2⁵ = 31131233101 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31131233933) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2784208 + ... + 2795366.

It is an arithmetic number, because the mean of its divisors is an integer number (871819200).

Almost surely, 2^31131233133 is an apocalyptic number.

31131233133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31131233133 is a deficient number, since it is larger than the sum of its proper divisors (24665195667).

31131233133 is a wasteful number, since it uses less digits than its factorization.

31131233133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12122.

The product of its digits is 1458, while the sum is 24.

Adding to 31131233133 its reverse (33133213113), we get a palindrome (64264446246).

It can be divided in two parts, 3113123 and 3133, that added together give a triangular number (3116256 = T₂₄₉₆).

The spelling of 31131233133 in words is "thirty-one billion, one hundred thirty-one million, two hundred thirty-three thousand, one hundred thirty-three".