11311112323117 has 2 divisors, whose sum is σ = 11311112323118. Its totient is φ = 11311112323116.

The previous prime is 11311112323111. The next prime is 11311112323213. The reversal of 11311112323117 is 71132321111311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5907398304196 + 5403714018921 = 2430514^2 + 2324589^2 .

It is an emirp because it is prime and its reverse (71132321111311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11311112323117 - 2³⁵ = 11276752584749 is a prime.

It is a super-2 number, since 2×11311112323117² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11311112323111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5655556161558 + 5655556161559.

It is an arithmetic number, because the mean of its divisors is an integer number (5655556161559).

Almost surely, 2^{11311112323117} is an apocalyptic number.

It is an amenable number.

11311112323117 is a deficient number, since it is larger than the sum of its proper divisors (1).

11311112323117 is an equidigital number, since it uses as much as digits as its factorization.

11311112323117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 756, while the sum is 28.

Adding to 11311112323117 its reverse (71132321111311), we get a palindrome (82443433434428).

The spelling of 11311112323117 in words is "eleven trillion, three hundred eleven billion, one hundred twelve million, three hundred twenty-three thousand, one hundred seventeen".