21311002233120 has 768 divisors, whose sum is σ = 73347686092800. Its totient is φ = 5184066355200.

The previous prime is 21311002233097. The next prime is 21311002233137. The reversal of 21311002233120 is 2133220011312.

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, 5931254044 + ... + 5931257636.

It is an arithmetic number, because the mean of its divisors is an integer number (95504799600).

Almost surely, 2^{21311002233120} is an apocalyptic number.

21311002233120 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 21311002233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36673843046400).

21311002233120 is an abundant number, since it is smaller than the sum of its proper divisors (52036683859680).

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

21311002233120 is a wasteful number, since it uses less digits than its factorization.

21311002233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3913 (or 3905 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 21311002233120 its reverse (2133220011312), we get a palindrome (23444222244432).

The spelling of 21311002233120 in words is "twenty-one trillion, three hundred eleven billion, two million, two hundred thirty-three thousand, one hundred twenty".