21312132301000 has 64 divisors (see below), whose sum is σ = 49895119338480. Its totient is φ = 8520625612800.

The previous prime is 21312132300929. The next prime is 21312132301049. The reversal of 21312132301000 is 10323121312.

It can be written as a sum of positive squares in 8 ways, for example, as 18208263844 + 21293924037156 = 134938^2 + 4614534^2 .

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 15 ways as a sum of consecutive naturals, for example, 3266127 + ... + 7300126.

Almost surely, 2^{21312132301000} is an apocalyptic number.

21312132301000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21312132301000 is an abundant number, since it is smaller than the sum of its proper divisors (28582987037480).

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

21312132301000 is a wasteful number, since it uses less digits than its factorization.

21312132301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10568291 (or 10568277 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 21312132301000 its reverse (10323121312), we get a palindrome (21322455422312).

The spelling of 21312132301000 in words is "twenty-one trillion, three hundred twelve billion, one hundred thirty-two million, three hundred one thousand".