13320066166101 has 96 divisors (see below), whose sum is σ = 20549650163328. Its totient is φ = 8301720430080.

The previous prime is 13320066166061. The next prime is 13320066166109. The reversal of 13320066166101 is 10166166002331.

13320066166101 is a `hidden beast` number, since 1 + 3 + 3 + 20 + 0 + 6 + 6 + 16 + 610 + 1 = 666.

It is not a de Polignac number, because 13320066166101 - 2⁹ = 13320066165589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13320066166109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 726236191 + ... + 726254531.

It is an arithmetic number, because the mean of its divisors is an integer number (214058855868).

Almost surely, 2^{13320066166101} is an apocalyptic number.

It is an amenable number.

13320066166101 is a deficient number, since it is larger than the sum of its proper divisors (7229583997227).

13320066166101 is a wasteful number, since it uses less digits than its factorization.

13320066166101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19251 (or 19248 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 13320066166101 in words is "thirteen trillion, three hundred twenty billion, sixty-six million, one hundred sixty-six thousand, one hundred one".