13231337568768 has 1600 divisors, whose sum is σ = 45996416040960. Its totient is φ = 3749798707200.

The previous prime is 13231337568763. The next prime is 13231337568781. The reversal of 13231337568768 is 86786573313231.

It is a happy number.

13231337568768 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 1 + 3 + 3 + 7 + 568 + 7 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (13231337568763) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 95189478843 + ... + 95189478981.

Almost surely, 2^{13231337568768} is an apocalyptic number.

13231337568768 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 13231337568768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22998208020480).

13231337568768 is an abundant number, since it is smaller than the sum of its proper divisors (32765078472192).

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

13231337568768 is a wasteful number, since it uses less digits than its factorization.

13231337568768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 366 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 13231337568768 in words is "thirteen trillion, two hundred thirty-one billion, three hundred thirty-seven million, five hundred sixty-eight thousand, seven hundred sixty-eight".