11011011110117 has 2 divisors, whose sum is σ = 11011011110118. Its totient is φ = 11011011110116.

The previous prime is 11011011110083. The next prime is 11011011110137. The reversal of 11011011110117 is 71101111011011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10450989374401 + 560021735716 = 3232799^2 + 748346^2 .

It is a cyclic number.

It is not a de Polignac number, because 11011011110117 - 2²⁴ = 11010994332901 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11011011110095 and 11011011110104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11011011110137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5505505555058 + 5505505555059.

It is an arithmetic number, because the mean of its divisors is an integer number (5505505555059).

Almost surely, 2^{11011011110117} is an apocalyptic number.

It is an amenable number.

11011011110117 is a deficient number, since it is larger than the sum of its proper divisors (1).

11011011110117 is an equidigital number, since it uses as much as digits as its factorization.

11011011110117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 17.

Adding to 11011011110117 its reverse (71101111011011), we get a palindrome (82112122121128).

The spelling of 11011011110117 in words is "eleven trillion, eleven billion, eleven million, one hundred ten thousand, one hundred seventeen".