11310858021217 has 2 divisors, whose sum is σ = 11310858021218. Its totient is φ = 11310858021216.

The previous prime is 11310858021193. The next prime is 11310858021251. The reversal of 11310858021217 is 71212085801311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11254421367121 + 56436654096 = 3354761^2 + 237564^2 .

It is a cyclic number.

It is not a de Polignac number, because 11310858021217 - 2⁴³ = 2514764999009 is a prime.

It is a super-2 number, since 2×11310858021217² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11310858021217.

It is not a weakly prime, because it can be changed into another prime (11310858021257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5655429010608 + 5655429010609.

It is an arithmetic number, because the mean of its divisors is an integer number (5655429010609).

Almost surely, 2^{11310858021217} is an apocalyptic number.

It is an amenable number.

11310858021217 is a deficient number, since it is larger than the sum of its proper divisors (1).

11310858021217 is an equidigital number, since it uses as much as digits as its factorization.

11310858021217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26880, while the sum is 40.

The spelling of 11310858021217 in words is "eleven trillion, three hundred ten billion, eight hundred fifty-eight million, twenty-one thousand, two hundred seventeen".