21331023312000 has 1024 divisors, whose sum is σ = 74857685760000. Its totient is φ = 5365176320000.

The previous prime is 21331023311999. The next prime is 21331023312061. The reversal of 21331023312000 is 21332013312.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14700911275 + ... + 14700912725.

It is an arithmetic number, because the mean of its divisors is an integer number (73103208750).

Almost surely, 2^{21331023312000} is an apocalyptic number.

21331023312000 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 21331023312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37428842880000).

21331023312000 is an abundant number, since it is smaller than the sum of its proper divisors (53526662448000).

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

21331023312000 is a wasteful number, since it uses less digits than its factorization.

21331023312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 21331023312000 its reverse (21332013312), we get a palindrome (21352355325312).

The spelling of 21331023312000 in words is "twenty-one trillion, three hundred thirty-one billion, twenty-three million, three hundred twelve thousand".