13200133241376 has 72 divisors (see below), whose sum is σ = 37609929004284. Its totient is φ = 4391598981120.

The previous prime is 13200133241369. The next prime is 13200133241377. The reversal of 13200133241376 is 67314233100231.

13200133241376 is a `hidden beast` number, since 1 + 3 + 200 + 1 + 3 + 32 + 413 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13199996912400 + 136328976 = 3633180^2 + 11676^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13200133241376.

It is not an unprimeable number, because it can be changed into a prime (13200133241377) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43836321 + ... + 44136416.

Almost surely, 2^{13200133241376} is an apocalyptic number.

13200133241376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13200133241376 is an abundant number, since it is smaller than the sum of its proper divisors (24409795762908).

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

13200133241376 is a wasteful number, since it uses less digits than its factorization.

13200133241376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87973274 (or 87973263 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 13200133241376 in words is "thirteen trillion, two hundred billion, one hundred thirty-three million, two hundred forty-one thousand, three hundred seventy-six".