312100132000 has 48 divisors (see below), whose sum is σ = 766830034152. Its totient is φ = 124840051200.

The previous prime is 312100131979. The next prime is 312100132009. The reversal of 312100132000 is 231001213.

It can be written as a sum of positive squares in 4 ways, for example, as 97816315536 + 214283816464 = 312756^2 + 462908^2 .

It is not an unprimeable number, because it can be changed into a prime (312100132009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39008517 + ... + 39016516.

Almost surely, 2^312100132000 is an apocalyptic number.

It is an amenable number.

312100132000 is an abundant number, since it is smaller than the sum of its proper divisors (454729902152).

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

312100132000 is an equidigital number, since it uses as much as digits as its factorization.

312100132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78025058 (or 78025040 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 312100132000 its reverse (231001213), we get a palindrome (312331133213).

The spelling of 312100132000 in words is "three hundred twelve billion, one hundred million, one hundred thirty-two thousand".