21331022013312 has 64 divisors (see below), whose sum is σ = 61811484255360. Its totient is φ = 6463946063360.

The previous prime is 21331022013281. The next prime is 21331022013359.

21331022013312 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×21331022013312² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2524974708 + ... + 2524983155.

It is an arithmetic number, because the mean of its divisors is an integer number (965804441490).

Almost surely, 2^{21331022013312} is an apocalyptic number.

21331022013312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21331022013312 is an abundant number, since it is smaller than the sum of its proper divisors (40480462242048).

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

21331022013312 is a wasteful number, since it uses less digits than its factorization.

21331022013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5049957891 (or 5049957879 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 2133102 and 2013312, that added together give a palindrome (4146414).

The spelling of 21331022013312 in words is "twenty-one trillion, three hundred thirty-one billion, twenty-two million, thirteen thousand, three hundred twelve".