13300528684688 has 120 divisors (see below), whose sum is σ = 31282830145728. Its totient is φ = 5451973325568.

The previous prime is 13300528684687. The next prime is 13300528684717. The reversal of 13300528684688 is 88648682500331.

It is a happy number.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13300528684688.

It is not an unprimeable number, because it can be changed into a prime (13300528684687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370233095 + ... + 370269017.

Almost surely, 2^{13300528684688} 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 13300528684688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15641415072864).

13300528684688 is an abundant number, since it is smaller than the sum of its proper divisors (17982301461040).

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

13300528684688 is a wasteful number, since it uses less digits than its factorization.

13300528684688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56501 (or 56488 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 62.

The spelling of 13300528684688 in words is "thirteen trillion, three hundred billion, five hundred twenty-eight million, six hundred eighty-four thousand, six hundred eighty-eight".