13536214171201 has 16 divisors (see below), whose sum is σ = 13646888760960. Its totient is φ = 13425960602880.

The previous prime is 13536214171171. The next prime is 13536214171223. The reversal of 13536214171201 is 10217141263531.

It is a cyclic number.

It is not a de Polignac number, because 13536214171201 - 2⁵ = 13536214171169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13536214171261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156711241 + ... + 156797593.

It is an arithmetic number, because the mean of its divisors is an integer number (852930547560).

Almost surely, 2^{13536214171201} is an apocalyptic number.

It is an amenable number.

13536214171201 is a deficient number, since it is larger than the sum of its proper divisors (110674589759).

13536214171201 is a wasteful number, since it uses less digits than its factorization.

13536214171201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88776.

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 13536214171201 in words is "thirteen trillion, five hundred thirty-six billion, two hundred fourteen million, one hundred seventy-one thousand, two hundred one".