344102120304113 has 2 divisors, whose sum is σ = 344102120304114. Its totient is φ = 344102120304112.

The previous prime is 344102120304071. The next prime is 344102120304139. The reversal of 344102120304113 is 311403021201443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 304584590331904 + 39517529972209 = 17452352^2 + 6286297^2 .

It is a cyclic number.

It is not a de Polignac number, because 344102120304113 - 2¹⁸ = 344102120041969 is a prime.

It is a super-2 number, since 2×344102120304113² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (344102120304713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172051060152056 + 172051060152057.

It is an arithmetic number, because the mean of its divisors is an integer number (172051060152057).

Almost surely, 2^{344102120304113} is an apocalyptic number.

It is an amenable number.

344102120304113 is a deficient number, since it is larger than the sum of its proper divisors (1).

344102120304113 is an equidigital number, since it uses as much as digits as its factorization.

344102120304113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 344102120304113 its reverse (311403021201443), we get a palindrome (655505141505556).

The spelling of 344102120304113 in words is "three hundred forty-four trillion, one hundred two billion, one hundred twenty million, three hundred four thousand, one hundred thirteen".