4102414404113 has 2 divisors, whose sum is σ = 4102414404114. Its totient is φ = 4102414404112.

The previous prime is 4102414404047. The next prime is 4102414404139. The reversal of 4102414404113 is 3114044142014.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3451822136464 + 650592267649 = 1857908^2 + 806593^2 .

It is a cyclic number.

It is not a de Polignac number, because 4102414404113 - 2²⁴ = 4102397626897 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 (4102414404173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2051207202056 + 2051207202057.

It is an arithmetic number, because the mean of its divisors is an integer number (2051207202057).

Almost surely, 2^{4102414404113} is an apocalyptic number.

It is an amenable number.

4102414404113 is a deficient number, since it is larger than the sum of its proper divisors (1).

4102414404113 is an equidigital number, since it uses as much as digits as its factorization.

4102414404113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 4102414404113 its reverse (3114044142014), we get a palindrome (7216458546127).

The spelling of 4102414404113 in words is "four trillion, one hundred two billion, four hundred fourteen million, four hundred four thousand, one hundred thirteen".