21331120000 has 160 divisors (see below), whose sum is σ = 55416073680. Its totient is φ = 8160768000.

The previous prime is 21331119989. The next prime is 21331120001. The reversal of 21331120000 is 2113312.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21331120001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1834204 + ... + 1845796.

Almost surely, 2^21331120000 is an apocalyptic number.

21331120000 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 21331120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27708036840).

21331120000 is an abundant number, since it is smaller than the sum of its proper divisors (34084953680).

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

21331120000 is an equidigital number, since it uses as much as digits as its factorization.

21331120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11650 (or 11623 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 21331120000 its reverse (2113312), we get a palindrome (21333233312).

The spelling of 21331120000 in words is "twenty-one billion, three hundred thirty-one million, one hundred twenty thousand".