3131431122320 has 40 divisors (see below), whose sum is σ = 7280686216824. Its totient is φ = 1252553720832.

The previous prime is 3131431122307. The next prime is 3131431122329. The reversal of 3131431122320 is 232211341313.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1808185817344 + 1323245304976 = 1344688^2 + 1150324^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 3131431122320.

It is not an unprimeable number, because it can be changed into a prime (3131431122329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5907242 + ... + 6415478.

Almost surely, 2^{3131431122320} is an apocalyptic number.

It is an amenable number.

3131431122320 is an abundant number, since it is smaller than the sum of its proper divisors (4149255094504).

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

3131431122320 is a wasteful number, since it uses less digits than its factorization.

3131431122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585267 (or 585261 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 3131431122320 its reverse (232211341313), we get a palindrome (3363642463633).

The spelling of 3131431122320 in words is "three trillion, one hundred thirty-one billion, four hundred thirty-one million, one hundred twenty-two thousand, three hundred twenty".