301427034344113 has 2 divisors, whose sum is σ = 301427034344114. Its totient is φ = 301427034344112.

The previous prime is 301427034344083. The next prime is 301427034344159. The reversal of 301427034344113 is 311443430724103.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 184458310260849 + 116968724083264 = 13581543^2 + 10815208^2 .

It is an emirp because it is prime and its reverse (311443430724103) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 301427034344113 - 2⁹ = 301427034343601 is a prime.

It is not a weakly prime, because it can be changed into another prime (301427034347113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150713517172056 + 150713517172057.

It is an arithmetic number, because the mean of its divisors is an integer number (150713517172057).

Almost surely, 2^{301427034344113} is an apocalyptic number.

It is an amenable number.

301427034344113 is a deficient number, since it is larger than the sum of its proper divisors (1).

301427034344113 is an equidigital number, since it uses as much as digits as its factorization.

301427034344113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 290304, while the sum is 40.

The spelling of 301427034344113 in words is "three hundred one trillion, four hundred twenty-seven billion, thirty-four million, three hundred forty-four thousand, one hundred thirteen".