13166400436101 has 24 divisors (see below), whose sum is σ = 20747265477120. Its totient is φ = 7979555764800.

The previous prime is 13166400436099. The next prime is 13166400436109. The reversal of 13166400436101 is 10163400466131.

13166400436101 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 640 + 0 + 4 + 3 + 6 + 1 + 0 + 1 = 666.

It is not a de Polignac number, because 13166400436101 - 2¹ = 13166400436099 is a prime.

It is a congruent number.

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, 9993436 + ... + 11233946.

It is an arithmetic number, because the mean of its divisors is an integer number (864469394880).

Almost surely, 2^{13166400436101} is an apocalyptic number.

13166400436101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13166400436101 is a deficient number, since it is larger than the sum of its proper divisors (7580865041019).

13166400436101 is a wasteful number, since it uses less digits than its factorization.

13166400436101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347737 (or 1347734 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 13166400436101 in words is "thirteen trillion, one hundred sixty-six billion, four hundred million, four hundred thirty-six thousand, one hundred one".