312321202131000 has 128 divisors (see below), whose sum is σ = 975338611752960. Its totient is φ = 83209033296000.

The previous prime is 312321202130983. The next prime is 312321202131053. The reversal of 312321202131000 is 131202123213.

It is a super-2 number, since 2×312321202131000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44626336 + ... + 51148335.

It is an arithmetic number, because the mean of its divisors is an integer number (7619832904320).

Almost surely, 2^{312321202131000} is an apocalyptic number.

312321202131000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312321202131000 is an abundant number, since it is smaller than the sum of its proper divisors (663017409621960).

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

312321202131000 is a wasteful number, since it uses less digits than its factorization.

312321202131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95775782 (or 95775768 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 312321202131000 its reverse (131202123213), we get a palindrome (312452404254213).

The spelling of 312321202131000 in words is "three hundred twelve trillion, three hundred twenty-one billion, two hundred two million, one hundred thirty-one thousand".