13221331272 has 60 divisors (see below), whose sum is σ = 37040169705. Its totient is φ = 4406134752.

The previous prime is 13221331261. The next prime is 13221331289. The reversal of 13221331272 is 27213312231.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13221331272 is a `hidden beast` number, since 1 + 322 + 1 + 331 + 2 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7443203076 + 5778128196 = 86274^2 + 76014^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=81306.

It is a super-3 number, since 3×13221331272³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2924758 + ... + 2929274.

Almost surely, 2^13221331272 is an apocalyptic number.

13221331272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13221331272 is an abundant number, since it is smaller than the sum of its proper divisors (23818838433).

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

13221331272 is an frugal number, since it uses more digits than its factorization.

13221331272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9052 (or 4522 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The spelling of 13221331272 in words is "thirteen billion, two hundred twenty-one million, three hundred thirty-one thousand, two hundred seventy-two".