21331320000000 has 320 divisors, whose sum is σ = 71035179868224. Its totient is φ = 5688320000000.

The previous prime is 21331319999993. The next prime is 21331320000037. The reversal of 21331320000000 is 2313312.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 119911120 + ... + 120088880.

Almost surely, 2^{21331320000000} is an apocalyptic number.

21331320000000 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 21331320000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35517589934112).

21331320000000 is an abundant number, since it is smaller than the sum of its proper divisors (49703859868224).

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

21331320000000 is an frugal number, since it uses more digits than its factorization.

21331320000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177817 (or 177771 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 21331320000000 its reverse (2313312), we get a palindrome (21331322313312).

The spelling of 21331320000000 in words is "twenty-one trillion, three hundred thirty-one billion, three hundred twenty million", and thus it is an aban number.