21013056000000 has 819 divisors, whose sum is σ = 76269552233329. Its totient is φ = 5574144000000.

The previous prime is 21013055999987. The next prime is 21013056000017. The reversal of 21013056000000 is 65031012.

The square root of 21013056000000 is 4584000.

It is a perfect power (a square), and thus also a powerful number.

21013056000000 is a `hidden beast` number, since 2 + 101 + 3 + 0 + 560 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 18409454309376 + 2603601690624 = 4290624^2 + 1613568^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 110015999905 + ... + 110016000095.

Almost surely, 2^{21013056000000} is an apocalyptic number.

21013056000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21013056000000 is the 4584000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21013056000000

21013056000000 is an abundant number, since it is smaller than the sum of its proper divisors (55256496233329).

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

21013056000000 is an frugal number, since it uses more digits than its factorization.

21013056000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The spelling of 21013056000000 in words is "twenty-one trillion, thirteen billion, fifty-six million", and thus it is an aban number and an uban number.