334112414230013 has 2 divisors, whose sum is σ = 334112414230014. Its totient is φ = 334112414230012.

The previous prime is 334112414229961. The next prime is 334112414230027. The reversal of 334112414230013 is 310032414211433.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 245424746617444 + 88687667612569 = 15666038^2 + 9417413^2 .

It is an emirp because it is prime and its reverse (310032414211433) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 334112414230013 - 2²⁴ = 334112397452797 is a prime.

It is a super-2 number, since 2×334112414230013² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (334112414230213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 167056207115006 + 167056207115007.

It is an arithmetic number, because the mean of its divisors is an integer number (167056207115007).

Almost surely, 2^{334112414230013} is an apocalyptic number.

It is an amenable number.

334112414230013 is a deficient number, since it is larger than the sum of its proper divisors (1).

334112414230013 is an equidigital number, since it uses as much as digits as its factorization.

334112414230013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 334112414230013 its reverse (310032414211433), we get a palindrome (644144828441446).

The spelling of 334112414230013 in words is "three hundred thirty-four trillion, one hundred twelve billion, four hundred fourteen million, two hundred thirty thousand, thirteen".