211313006738017 has 2 divisors, whose sum is σ = 211313006738018. Its totient is φ = 211313006738016.

The previous prime is 211313006737913. The next prime is 211313006738021. The reversal of 211313006738017 is 710837600313112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211280876534016 + 32130204001 = 14535504^2 + 179249^2 .

It is a cyclic number.

It is not a de Polignac number, because 211313006738017 - 2³⁹ = 210763250924129 is a prime.

It is a super-2 number, since 2×211313006738017² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211313007738017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105656503369008 + 105656503369009.

It is an arithmetic number, because the mean of its divisors is an integer number (105656503369009).

Almost surely, 2^{211313006738017} is an apocalyptic number.

It is an amenable number.

211313006738017 is a deficient number, since it is larger than the sum of its proper divisors (1).

211313006738017 is an equidigital number, since it uses as much as digits as its factorization.

211313006738017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 127008, while the sum is 43.

The spelling of 211313006738017 in words is "two hundred eleven trillion, three hundred thirteen billion, six million, seven hundred thirty-eight thousand, seventeen".