21331544513312 has 96 divisors (see below), whose sum is σ = 45894651715584. Its totient is φ = 9679165804800.

The previous prime is 21331544513303. The next prime is 21331544513317.

It is a happy number.

21331544513312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21331544513312² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21331544513317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2070415553 + ... + 2070425855.

It is an arithmetic number, because the mean of its divisors is an integer number (478069288704).

Almost surely, 2^{21331544513312} is an apocalyptic number.

21331544513312 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 21331544513312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22947325857792).

21331544513312 is an abundant number, since it is smaller than the sum of its proper divisors (24563107202272).

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

21331544513312 is a wasteful number, since it uses less digits than its factorization.

21331544513312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20062 (or 20054 counting only the distinct ones).

The product of its digits is 129600, while the sum is 38.

It can be divided in two parts, 2133154 and 4513312, that added together give a palindrome (6646466).

The spelling of 21331544513312 in words is "twenty-one trillion, three hundred thirty-one billion, five hundred forty-four million, five hundred thirteen thousand, three hundred twelve".