2167207172213 has 2 divisors, whose sum is σ = 2167207172214. Its totient is φ = 2167207172212.

The previous prime is 2167207172191. The next prime is 2167207172219. The reversal of 2167207172213 is 3122717027612.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1337799896689 + 829407275524 = 1156633^2 + 910718^2 .

It is a cyclic number.

It is not a de Polignac number, because 2167207172213 - 2²⁰ = 2167206123637 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2167207172219) 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 as a sum of consecutive naturals, namely, 1083603586106 + 1083603586107.

It is an arithmetic number, because the mean of its divisors is an integer number (1083603586107).

Almost surely, 2^{2167207172213} is an apocalyptic number.

It is an amenable number.

2167207172213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2167207172213 is an equidigital number, since it uses as much as digits as its factorization.

2167207172213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 98784, while the sum is 41.

The spelling of 2167207172213 in words is "two trillion, one hundred sixty-seven billion, two hundred seven million, one hundred seventy-two thousand, two hundred thirteen".