11111113288817 has 2 divisors, whose sum is σ = 11111113288818. Its totient is φ = 11111113288816.

The previous prime is 11111113288789. The next prime is 11111113288819. The reversal of 11111113288817 is 71888231111111.

It is a happy number.

11111113288817 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9408795525376 + 1702317763441 = 3067376^2 + 1304729^2 .

It is a cyclic number.

It is not a de Polignac number, because 11111113288817 - 2¹⁶ = 11111113223281 is a prime.

Together with 11111113288819, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (11111113288819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5555556644408 + 5555556644409.

It is an arithmetic number, because the mean of its divisors is an integer number (5555556644409).

Almost surely, 2^{11111113288817} is an apocalyptic number.

It is an amenable number.

11111113288817 is a deficient number, since it is larger than the sum of its proper divisors (1).

11111113288817 is an equidigital number, since it uses as much as digits as its factorization.

11111113288817 is an evil number, because the sum of its binary digits is even.

The product of its digits is 21504, while the sum is 44.

Adding to 11111113288817 its reverse (71888231111111), we get a palindrome (82999344399928).

The spelling of 11111113288817 in words is "eleven trillion, one hundred eleven billion, one hundred thirteen million, two hundred eighty-eight thousand, eight hundred seventeen".