13185768406217 has 4 divisors (see below), whose sum is σ = 14384474624976. Its totient is φ = 11987062187460.

The previous prime is 13185768406189. The next prime is 13185768406241. The reversal of 13185768406217 is 71260486758131.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 13185768406217 - 2²⁰ = 13185767357641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13185768406417) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 599353109363 + ... + 599353109384.

It is an arithmetic number, because the mean of its divisors is an integer number (3596118656244).

Almost surely, 2^{13185768406217} is an apocalyptic number.

It is an amenable number.

13185768406217 is a deficient number, since it is larger than the sum of its proper divisors (1198706218759).

13185768406217 is a wasteful number, since it uses less digits than its factorization.

13185768406217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198706218758.

The product of its (nonzero) digits is 13547520, while the sum is 59.

The spelling of 13185768406217 in words is "thirteen trillion, one hundred eighty-five billion, seven hundred sixty-eight million, four hundred six thousand, two hundred seventeen".