4102242312013 has 2 divisors, whose sum is σ = 4102242312014. Its totient is φ = 4102242312012.

The previous prime is 4102242312011. The next prime is 4102242312019. The reversal of 4102242312013 is 3102132422014.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3889170521604 + 213071790409 = 1972098^2 + 461597^2 .

It is a cyclic number.

It is not a de Polignac number, because 4102242312013 - 2¹ = 4102242312011 is a prime.

It is a super-2 number, since 2×4102242312013² (a number of 26 digits) contains 22 as substring.

Together with 4102242312011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4102242312011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2051121156006 + 2051121156007.

It is an arithmetic number, because the mean of its divisors is an integer number (2051121156007).

Almost surely, 2^{4102242312013} is an apocalyptic number.

It is an amenable number.

4102242312013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4102242312013 is an equidigital number, since it uses as much as digits as its factorization.

4102242312013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 4102242312013 its reverse (3102132422014), we get a palindrome (7204374734027).

The spelling of 4102242312013 in words is "four trillion, one hundred two billion, two hundred forty-two million, three hundred twelve thousand, thirteen".