21311312223000 has 256 divisors, whose sum is σ = 68260965252480. Its totient is φ = 5532364800000.

The previous prime is 21311312222989. The next prime is 21311312223007. The reversal of 21311312223000 is 32221311312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21311312223007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56515080 + ... + 56890920.

Almost surely, 2^{21311312223000} is an apocalyptic number.

21311312223000 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 21311312223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34130482626240).

21311312223000 is an abundant number, since it is smaller than the sum of its proper divisors (46949653029480).

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

21311312223000 is a wasteful number, since it uses less digits than its factorization.

21311312223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376367 (or 376353 counting only the distinct ones).

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

Adding to 21311312223000 its reverse (32221311312), we get a palindrome (21343533534312).

The spelling of 21311312223000 in words is "twenty-one trillion, three hundred eleven billion, three hundred twelve million, two hundred twenty-three thousand".