13221102312 has 128 divisors (see below), whose sum is σ = 40098355200. Its totient is φ = 4002955200.

The previous prime is 13221102311. The next prime is 13221102421. The reversal of 13221102312 is 21320112231.

13221102312 is a `hidden beast` number, since 1 + 322 + 110 + 231 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13221102311) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4776753 + ... + 4779519.

It is an arithmetic number, because the mean of its divisors is an integer number (313268400).

Almost surely, 2^13221102312 is an apocalyptic number.

13221102312 is a gapful number since it is divisible by the number (12) 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 13221102312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20049177600).

13221102312 is an abundant number, since it is smaller than the sum of its proper divisors (26877252888).

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

13221102312 is a wasteful number, since it uses less digits than its factorization.

13221102312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4804 (or 4794 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13221102312 its reverse (21320112231), we get a palindrome (34541214543).

The spelling of 13221102312 in words is "thirteen billion, two hundred twenty-one million, one hundred two thousand, three hundred twelve".