13322330112 has 672 divisors, whose sum is σ = 47692616832. Its totient is φ = 3269984256.

The previous prime is 13322330093. The next prime is 13322330123. The reversal of 13322330112 is 21103322331.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×13322330112² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 360062958 + ... + 360062994.

It is an arithmetic number, because the mean of its divisors is an integer number (70971156).

Almost surely, 2^13322330112 is an apocalyptic number.

13322330112 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 13322330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23846308416).

13322330112 is an abundant number, since it is smaller than the sum of its proper divisors (34370286720).

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

13322330112 is a wasteful number, since it uses less digits than its factorization.

13322330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13322330112 its reverse (21103322331), we get a palindrome (34425652443).

The spelling of 13322330112 in words is "thirteen billion, three hundred twenty-two million, three hundred thirty thousand, one hundred twelve".