13166400436100 has 72 divisors (see below), whose sum is σ = 30747671663688. Its totient is φ = 4875504076800.

The previous prime is 13166400436099. The next prime is 13166400436109. The reversal of 13166400436100 is 163400466131.

It can be written as a sum of positive squares in 12 ways, for example, as 10196513467204 + 2969886968896 = 3193198^2 + 1723336^2 .

It is not an unprimeable number, because it can be changed into a prime (13166400436109) 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, 63379427 + ... + 63586826.

It is an arithmetic number, because the mean of its divisors is an integer number (427050995329).

Almost surely, 2^{13166400436100} is an apocalyptic number.

13166400436100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13166400436100 is an abundant number, since it is smaller than the sum of its proper divisors (17581271227588).

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

13166400436100 is a wasteful number, since it uses less digits than its factorization.

13166400436100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126966345 (or 126966338 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 13166400436100 in words is "thirteen trillion, one hundred sixty-six billion, four hundred million, four hundred thirty-six thousand, one hundred".