13013885751768 has 192 divisors, whose sum is σ = 39762275414400. Its totient is φ = 3940872408000.

The previous prime is 13013885751733. The next prime is 13013885751799. The reversal of 13013885751768 is 86715758831031.

It is a happy number.

13013885751768 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 3 + 8 + 8 + 57 + 517 + 68 = 666.

It is a super-2 number, since 2×13013885751768² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 37751755 + ... + 38094917.

It is an arithmetic number, because the mean of its divisors is an integer number (207095184450).

Almost surely, 2^{13013885751768} is an apocalyptic number.

13013885751768 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 13013885751768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19881137707200).

13013885751768 is an abundant number, since it is smaller than the sum of its proper divisors (26748389662632).

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

13013885751768 is a wasteful number, since it uses less digits than its factorization.

13013885751768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344651 (or 344630 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The spelling of 13013885751768 in words is "thirteen trillion, thirteen billion, eight hundred eighty-five million, seven hundred fifty-one thousand, seven hundred sixty-eight".