413441300310113 has 2 divisors, whose sum is σ = 413441300310114. Its totient is φ = 413441300310112.

The previous prime is 413441300310109. The next prime is 413441300310131. The reversal of 413441300310113 is 311013003144314.

Together with next prime (413441300310131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 305044633387729 + 108396666922384 = 17465527^2 + 10411372^2 .

It is a cyclic number.

It is not a de Polignac number, because 413441300310113 - 2² = 413441300310109 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (413441300318113) 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, 206720650155056 + 206720650155057.

It is an arithmetic number, because the mean of its divisors is an integer number (206720650155057).

Almost surely, 2^{413441300310113} is an apocalyptic number.

It is an amenable number.

413441300310113 is a deficient number, since it is larger than the sum of its proper divisors (1).

413441300310113 is an equidigital number, since it uses as much as digits as its factorization.

413441300310113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 413441300310113 its reverse (311013003144314), we get a palindrome (724454303454427).

The spelling of 413441300310113 in words is "four hundred thirteen trillion, four hundred forty-one billion, three hundred million, three hundred ten thousand, one hundred thirteen".