13321221111312 has 40 divisors (see below), whose sum is σ = 34427867591520. Its totient is φ = 4438508578560.

The previous prime is 13321221111307. The next prime is 13321221111313. The reversal of 13321221111312 is 21311112212331.

13321221111312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13321221111312² (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 nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13321221111313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59213389 + ... + 59437932.

It is an arithmetic number, because the mean of its divisors is an integer number (860696689788).

Almost surely, 2^{13321221111312} is an apocalyptic number.

13321221111312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13321221111312 is an abundant number, since it is smaller than the sum of its proper divisors (21106646480208).

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

13321221111312 is a wasteful number, since it uses less digits than its factorization.

13321221111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118653671 (or 118653665 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

Adding to 13321221111312 its reverse (21311112212331), we get a palindrome (34632333323643).

The spelling of 13321221111312 in words is "thirteen trillion, three hundred twenty-one billion, two hundred twenty-one million, one hundred eleven thousand, three hundred twelve".