13313137968 has 280 divisors, whose sum is σ = 43850023280. Its totient is φ = 3879912960.

The previous prime is 13313137961. The next prime is 13313137973. The reversal of 13313137968 is 86973131331.

It is not an unprimeable number, because it can be changed into a prime (13313137961) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2878698 + ... + 2883318.

It is an arithmetic number, because the mean of its divisors is an integer number (156607226).

Almost surely, 2^13313137968 is an apocalyptic number.

13313137968 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 13313137968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21925011640).

13313137968 is an abundant number, since it is smaller than the sum of its proper divisors (30536885312).

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

13313137968 is a wasteful number, since it uses less digits than its factorization.

13313137968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4679 (or 4658 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The spelling of 13313137968 in words is "thirteen billion, three hundred thirteen million, one hundred thirty-seven thousand, nine hundred sixty-eight".