31312132000 has 48 divisors (see below), whose sum is σ = 76933918152. Its totient is φ = 12524851200.

The previous prime is 31312131997. The next prime is 31312132037. The reversal of 31312132000 is 23121313.

It can be written as a sum of positive squares in 4 ways, for example, as 18049385104 + 13262746896 = 134348^2 + 115164^2 .

It is a super-2 number, since 2×31312132000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3910017 + ... + 3918016.

Almost surely, 2^31312132000 is an apocalyptic number.

It is an amenable number.

31312132000 is an abundant number, since it is smaller than the sum of its proper divisors (45621786152).

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

31312132000 is an equidigital number, since it uses as much as digits as its factorization.

31312132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7828058 (or 7828040 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 31312132000 its reverse (23121313), we get a palindrome (31335253313).

The spelling of 31312132000 in words is "thirty-one billion, three hundred twelve million, one hundred thirty-two thousand".