13321322112 has 128 divisors (see below), whose sum is σ = 40499712000. Its totient is φ = 3800448000.

The previous prime is 13321322107. The next prime is 13321322143. The reversal of 13321322112 is 21122312331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

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

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 15 ways as a sum of consecutive naturals, for example, 2015389 + ... + 2021987.

It is an arithmetic number, because the mean of its divisors is an integer number (316404000).

Almost surely, 2^13321322112 is an apocalyptic number.

13321322112 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 13321322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20249856000).

13321322112 is an abundant number, since it is smaller than the sum of its proper divisors (27178389888).

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

13321322112 is an equidigital number, since it uses as much as digits as its factorization.

13321322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7374 (or 7362 counting only the distinct ones).

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

Adding to 13321322112 its reverse (21122312331), we get a palindrome (34443634443).

The spelling of 13321322112 in words is "thirteen billion, three hundred twenty-one million, three hundred twenty-two thousand, one hundred twelve".