21315322351312 has 80 divisors (see below), whose sum is σ = 45234339192000. Its totient is φ = 9649828536320.

The previous prime is 21315322351277. The next prime is 21315322351331.

21315322351312 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 43774239 + ... + 44258497.

It is an arithmetic number, because the mean of its divisors is an integer number (565429239900).

Almost surely, 2^{21315322351312} is an apocalyptic number.

21315322351312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21315322351312 is an abundant number, since it is smaller than the sum of its proper divisors (23919016840688).

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

21315322351312 is a wasteful number, since it uses less digits than its factorization.

21315322351312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485284 (or 485278 counting only the distinct ones).

The product of its digits is 32400, while the sum is 34.

It can be divided in two parts, 2131532 and 2351312, that added together give a palindrome (4482844).

The spelling of 21315322351312 in words is "twenty-one trillion, three hundred fifteen billion, three hundred twenty-two million, three hundred fifty-one thousand, three hundred twelve".