211001311310017 has 2 divisors, whose sum is σ = 211001311310018. Its totient is φ = 211001311310016.

The previous prime is 211001311309973. The next prime is 211001311310093. The reversal of 211001311310017 is 710013113100112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 208714913286961 + 2286398023056 = 14446969^2 + 1512084^2 .

It is a cyclic number.

It is not a de Polignac number, because 211001311310017 - 2¹⁵ = 211001311277249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 211001311310017.

It is not a weakly prime, because it can be changed into another prime (211001311310117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105500655655008 + 105500655655009.

It is an arithmetic number, because the mean of its divisors is an integer number (105500655655009).

Almost surely, 2^{211001311310017} is an apocalyptic number.

It is an amenable number.

211001311310017 is a deficient number, since it is larger than the sum of its proper divisors (1).

211001311310017 is an equidigital number, since it uses as much as digits as its factorization.

211001311310017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 22.

Adding to 211001311310017 its reverse (710013113100112), we get a palindrome (921014424410129).

The spelling of 211001311310017 in words is "two hundred eleven trillion, one billion, three hundred eleven million, three hundred ten thousand, seventeen".