13108203360768 has 160 divisors (see below), whose sum is σ = 34974241505280. Its totient is φ = 4362755051520.

The previous prime is 13108203360743. The next prime is 13108203360787. The reversal of 13108203360768 is 86706330280131.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4907600073 + ... + 4907602743.

It is an arithmetic number, because the mean of its divisors is an integer number (218589009408).

Almost surely, 2^{13108203360768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13108203360768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17487120752640).

13108203360768 is an abundant number, since it is smaller than the sum of its proper divisors (21866038144512).

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

13108203360768 is a wasteful number, since it uses less digits than its factorization.

13108203360768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6358 (or 6342 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 13108203360768 in words is "thirteen trillion, one hundred eight billion, two hundred three million, three hundred sixty thousand, seven hundred sixty-eight".