310131213113120 has 144 divisors (see below), whose sum is σ = 852319135878840. Its totient is φ = 106329191399424.

The previous prime is 310131213113119. The next prime is 310131213113129. The reversal of 310131213113120 is 21311312131013.

It can be written as a sum of positive squares in 4 ways, for example, as 218344006555024 + 91787206558096 = 14776468^2 + 9580564^2 .

It is a super-2 number, since 2×310131213113120² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (310131213113129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 646787702 + ... + 647267018.

Almost surely, 2^{310131213113120} is an apocalyptic number.

It is an amenable number.

310131213113120 is an abundant number, since it is smaller than the sum of its proper divisors (542187922765720).

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

310131213113120 is a wasteful number, since it uses less digits than its factorization.

310131213113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561875 (or 561860 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 310131213113120 its reverse (21311312131013), we get a palindrome (331442525244133).

The spelling of 310131213113120 in words is "three hundred ten trillion, one hundred thirty-one billion, two hundred thirteen million, one hundred thirteen thousand, one hundred twenty".