21331322313312 has 192 divisors, whose sum is σ = 61159501073664. Its totient is φ = 6456175165440.

The previous prime is 21331322313293. The next prime is 21331322313317.

21331322313312 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21331322313312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21331322313317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3989397423 + ... + 3989402769.

It is an arithmetic number, because the mean of its divisors is an integer number (318539068092).

Almost surely, 2^{21331322313312} is an apocalyptic number.

21331322313312 is a gapful number since it is divisible by the number (22) 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 21331322313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30579750536832).

21331322313312 is an abundant number, since it is smaller than the sum of its proper divisors (39828178760352).

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

21331322313312 is a wasteful number, since it uses less digits than its factorization.

21331322313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9261 (or 9253 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

It can be divided in two parts, 2133132 and 2313312, that added together give a palindrome (4446444).

The spelling of 21331322313312 in words is "twenty-one trillion, three hundred thirty-one billion, three hundred twenty-two million, three hundred thirteen thousand, three hundred twelve".