31131132143120 has 80 divisors (see below), whose sum is σ = 75617084772720. Its totient is φ = 11904017664000.

The previous prime is 31131132143119. The next prime is 31131132143161. The reversal of 31131132143120 is 2134123113113.

It can be written as a sum of positive squares in 8 ways, for example, as 449414707456 + 30681717435664 = 670384^2 + 5539108^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 31131132143120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66194351 + ... + 66662990.

It is an arithmetic number, because the mean of its divisors is an integer number (945213559659).

Almost surely, 2^{31131132143120} is an apocalyptic number.

It is an amenable number.

31131132143120 is an abundant number, since it is smaller than the sum of its proper divisors (44485952629600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31131132143120 is a wasteful number, since it uses less digits than its factorization.

31131132143120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132857484 (or 132857478 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 31131132143120 its reverse (2134123113113), we get a palindrome (33265255256233).

The spelling of 31131132143120 in words is "thirty-one trillion, one hundred thirty-one billion, one hundred thirty-two million, one hundred forty-three thousand, one hundred twenty".