312131112042320 has 20 divisors (see below), whose sum is σ = 725704835498580. Its totient is φ = 124852444816896.

The previous prime is 312131112042317. The next prime is 312131112042329. The reversal of 312131112042320 is 23240211131213.

It can be written as a sum of positive squares in 2 ways, for example, as 40941621262096 + 271189490780224 = 6398564^2 + 16467832^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-7 number, since 7×312131112042320⁷ (a number of 103 digits) contains 7777777 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 312131112042320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312131112042329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1950819450185 + ... + 1950819450344.

It is an arithmetic number, because the mean of its divisors is an integer number (36285241774929).

Almost surely, 2^{312131112042320} is an apocalyptic number.

It is an amenable number.

312131112042320 is an abundant number, since it is smaller than the sum of its proper divisors (413573723456260).

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

312131112042320 is a wasteful number, since it uses less digits than its factorization.

312131112042320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3901638900542 (or 3901638900536 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 312131112042320 its reverse (23240211131213), we get a palindrome (335371323173533).

The spelling of 312131112042320 in words is "three hundred twelve trillion, one hundred thirty-one billion, one hundred twelve million, forty-two thousand, three hundred twenty".