13321075968 has 720 divisors, whose sum is σ = 46156594176. Its totient is φ = 3795517440.

The previous prime is 13321075961. The next prime is 13321075969. The reversal of 13321075968 is 86957012331.

13321075968 is a `hidden beast` number, since 1 + 33 + 21 + 0 + 7 + 596 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321075961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 251341030 + ... + 251341082.

Almost surely, 2^13321075968 is an apocalyptic number.

13321075968 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 13321075968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23078297088).

13321075968 is an abundant number, since it is smaller than the sum of its proper divisors (32835518208).

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

13321075968 is a wasteful number, since it uses less digits than its factorization.

13321075968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 13321075968 in words is "thirteen billion, three hundred twenty-one million, seventy-five thousand, nine hundred sixty-eight".