21312010000 has 100 divisors (see below), whose sum is σ = 52111853244. Its totient is φ = 8440000000.

The previous prime is 21312009997. The next prime is 21312010021. The reversal of 21312010000 is 1021312.

It can be written as a sum of positive squares in 10 ways, for example, as 13448577024 + 7863432976 = 115968^2 + 88676^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 999450 + ... + 1020550.

Almost surely, 2^21312010000 is an apocalyptic number.

21312010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21312010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26055926622).

21312010000 is an abundant number, since it is smaller than the sum of its proper divisors (30799843244).

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

21312010000 is a wasteful number, since it uses less digits than its factorization.

21312010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21230 (or 21209 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 21312010000 its reverse (1021312), we get a palindrome (21313031312).

The spelling of 21312010000 in words is "twenty-one billion, three hundred twelve million, ten thousand".