13221321312 has 48 divisors (see below), whose sum is σ = 34762739760. Its totient is φ = 4399898112.

The previous prime is 13221321283. The next prime is 13221321331. The reversal of 13221321312 is 21312312231.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×13221321312³ (a number of 31 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53487 + ... + 171182.

It is an arithmetic number, because the mean of its divisors is an integer number (724223745).

Almost surely, 2^13221321312 is an apocalyptic number.

13221321312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13221321312 is an abundant number, since it is smaller than the sum of its proper divisors (21541418448).

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

13221321312 is a wasteful number, since it uses less digits than its factorization.

13221321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225295 (or 225287 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

Adding to 13221321312 its reverse (21312312231), we get a palindrome (34533633543).

The spelling of 13221321312 in words is "thirteen billion, two hundred twenty-one million, three hundred twenty-one thousand, three hundred twelve".