13200138137580 has 96 divisors (see below), whose sum is σ = 38568571711488. Its totient is φ = 3366885984000.

The previous prime is 13200138137573. The next prime is 13200138137587. The reversal of 13200138137580 is 8573183100231.

It is a happy number.

13200138137580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13200138137573) and next prime (13200138137587).

It is not an unprimeable number, because it can be changed into a prime (13200138137587) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49811430 + ... + 50075730.

It is an arithmetic number, because the mean of its divisors is an integer number (401755955328).

Almost surely, 2^{13200138137580} is an apocalyptic number.

13200138137580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13200138137580 is an abundant number, since it is smaller than the sum of its proper divisors (25368433573908).

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

13200138137580 is a wasteful number, since it uses less digits than its factorization.

13200138137580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300527 (or 300525 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 13200138137580 in words is "thirteen trillion, two hundred billion, one hundred thirty-eight million, one hundred thirty-seven thousand, five hundred eighty".