11006343533117 has 2 divisors, whose sum is σ = 11006343533118. Its totient is φ = 11006343533116.

The previous prime is 11006343533033. The next prime is 11006343533123. The reversal of 11006343533117 is 71133534360011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9807382042276 + 1198961490841 = 3131674^2 + 1094971^2 .

It is an emirp because it is prime and its reverse (71133534360011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11006343533117 - 2⁸ = 11006343532861 is a prime.

It is a super-2 number, since 2×11006343533117² (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 (11006343533917) 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, 5503171766558 + 5503171766559.

It is an arithmetic number, because the mean of its divisors is an integer number (5503171766559).

Almost surely, 2^{11006343533117} is an apocalyptic number.

It is an amenable number.

11006343533117 is a deficient number, since it is larger than the sum of its proper divisors (1).

11006343533117 is an equidigital number, since it uses as much as digits as its factorization.

11006343533117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 68040, while the sum is 38.

Adding to 11006343533117 its reverse (71133534360011), we get a palindrome (82139877893128).

The spelling of 11006343533117 in words is "eleven trillion, six billion, three hundred forty-three million, five hundred thirty-three thousand, one hundred seventeen".