13321196928 has 256 divisors, whose sum is σ = 42497280000. Its totient is φ = 4083664896.

The previous prime is 13321196891. The next prime is 13321196929. The reversal of 13321196928 is 82969112331.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321196929) 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, 21520203 + ... + 21520821.

It is an arithmetic number, because the mean of its divisors is an integer number (166005000).

Almost surely, 2^13321196928 is an apocalyptic number.

13321196928 is a gapful number since it is divisible by the number (18) 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 13321196928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21248640000).

13321196928 is an abundant number, since it is smaller than the sum of its proper divisors (29176083072).

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

13321196928 is a wasteful number, since it uses less digits than its factorization.

13321196928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1116 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The spelling of 13321196928 in words is "thirteen billion, three hundred twenty-one million, one hundred ninety-six thousand, nine hundred twenty-eight".