31234040213120 has 64 divisors (see below), whose sum is σ = 74923720419240. Its totient is φ = 12450975682560.

The previous prime is 31234040213113. The next prime is 31234040213143. The reversal of 31234040213120 is 2131204043213.

It can be written as a sum of positive squares in 4 ways, for example, as 22096091619904 + 9137948593216 = 4700648^2 + 3022904^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 31234040213120.

It is an unprimeable number.

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, 83094371 + ... + 83469410.

Almost surely, 2^{31234040213120} is an apocalyptic number.

It is an amenable number.

31234040213120 is an abundant number, since it is smaller than the sum of its proper divisors (43689680206120).

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

31234040213120 is a wasteful number, since it uses less digits than its factorization.

31234040213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166564093 (or 166564081 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 31234040213120 its reverse (2131204043213), we get a palindrome (33365244256333).

The spelling of 31234040213120 in words is "thirty-one trillion, two hundred thirty-four billion, forty million, two hundred thirteen thousand, one hundred twenty".