312132003113100 has 72 divisors (see below), whose sum is σ = 904357982384640. Its totient is φ = 83119435542080.

The previous prime is 312132003112999. The next prime is 312132003113141. The reversal of 312132003113100 is 1311300231213.

It is a happy number.

It is a super-2 number, since 2×312132003113100² (a number of 30 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 723316992 + ... + 723748391.

It is an arithmetic number, because the mean of its divisors is an integer number (12560527533120).

Almost surely, 2^{312132003113100} is an apocalyptic number.

312132003113100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312132003113100 is an abundant number, since it is smaller than the sum of its proper divisors (592225979271540).

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

312132003113100 is a wasteful number, since it uses less digits than its factorization.

312132003113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447066119 (or 1447066112 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 312132003113100 its reverse (1311300231213), we get a palindrome (313443303344313).

The spelling of 312132003113100 in words is "three hundred twelve trillion, one hundred thirty-two billion, three million, one hundred thirteen thousand, one hundred".