442102145200013 has 2 divisors, whose sum is σ = 442102145200014. Its totient is φ = 442102145200012.

The previous prime is 442102145200007. The next prime is 442102145200021. The reversal of 442102145200013 is 310002541201244.

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., 415071067663849 + 27031077536164 = 20373293^2 + 5199142^2 .

It is a cyclic number.

It is not a de Polignac number, because 442102145200013 - 2²⁸ = 442101876764557 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (442102145200003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221051072600006 + 221051072600007.

It is an arithmetic number, because the mean of its divisors is an integer number (221051072600007).

Almost surely, 2^{442102145200013} is an apocalyptic number.

It is an amenable number.

442102145200013 is a deficient number, since it is larger than the sum of its proper divisors (1).

442102145200013 is an equidigital number, since it uses as much as digits as its factorization.

442102145200013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 442102145200013 its reverse (310002541201244), we get a palindrome (752104686401257).

The spelling of 442102145200013 in words is "four hundred forty-two trillion, one hundred two billion, one hundred forty-five million, two hundred thousand, thirteen".