414113240113 has 2 divisors, whose sum is σ = 414113240114. Its totient is φ = 414113240112.

The previous prime is 414113240087. The next prime is 414113240119. The reversal of 414113240113 is 311042311414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 333242961984 + 80870278129 = 577272^2 + 284377^2 .

It is a cyclic number.

It is not a de Polignac number, because 414113240113 - 2⁹ = 414113239601 is a prime.

It is not a weakly prime, because it can be changed into another prime (414113240119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207056620056 + 207056620057.

It is an arithmetic number, because the mean of its divisors is an integer number (207056620057).

Almost surely, 2^414113240113 is an apocalyptic number.

It is an amenable number.

414113240113 is a deficient number, since it is larger than the sum of its proper divisors (1).

414113240113 is an equidigital number, since it uses as much as digits as its factorization.

414113240113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 414113240113 its reverse (311042311414), we get a palindrome (725155551527).

The spelling of 414113240113 in words is "four hundred fourteen billion, one hundred thirteen million, two hundred forty thousand, one hundred thirteen".