11132013404117 has 2 divisors, whose sum is σ = 11132013404118. Its totient is φ = 11132013404116.

The previous prime is 11132013404111. The next prime is 11132013404129. The reversal of 11132013404117 is 71140431023111.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9435869229796 + 1696144174321 = 3071786^2 + 1302361^2 .

It is a cyclic number.

It is not a de Polignac number, because 11132013404117 - 2¹⁶ = 11132013338581 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11132013404117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11132013404111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5566006702058 + 5566006702059.

It is an arithmetic number, because the mean of its divisors is an integer number (5566006702059).

Almost surely, 2^{11132013404117} is an apocalyptic number.

It is an amenable number.

11132013404117 is a deficient number, since it is larger than the sum of its proper divisors (1).

11132013404117 is an equidigital number, since it uses as much as digits as its factorization.

11132013404117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 29.

Adding to 11132013404117 its reverse (71140431023111), we get a palindrome (82272444427228).

The spelling of 11132013404117 in words is "eleven trillion, one hundred thirty-two billion, thirteen million, four hundred four thousand, one hundred seventeen".