31312124313120 has 144 divisors (see below), whose sum is σ = 122117284860480. Its totient is φ = 7157056983552.

The previous prime is 31312124313089. The next prime is 31312124313121. The reversal of 31312124313120 is 2131342121313.

31312124313120 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 212 + 431 + 3 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (31312124313121) 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 23 ways as a sum of consecutive naturals, for example, 1553170690 + ... + 1553190849.

It is an arithmetic number, because the mean of its divisors is an integer number (848036700420).

Almost surely, 2^{31312124313120} is an apocalyptic number.

31312124313120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31312124313120 is an abundant number, since it is smaller than the sum of its proper divisors (90805160547360).

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

31312124313120 is a wasteful number, since it uses less digits than its factorization.

31312124313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106361567 (or 3106361556 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 31312124313120 its reverse (2131342121313), we get a palindrome (33443466434433).

The spelling of 31312124313120 in words is "thirty-one trillion, three hundred twelve billion, one hundred twenty-four million, three hundred thirteen thousand, one hundred twenty".