303114102114013 has 2 divisors, whose sum is σ = 303114102114014. Its totient is φ = 303114102114012.

The previous prime is 303114102114007. The next prime is 303114102114121. The reversal of 303114102114013 is 310411201411303.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 266514179368644 + 36599922745369 = 16325262^2 + 6049787^2 .

It is a cyclic number.

It is not a de Polignac number, because 303114102114013 - 2¹³ = 303114102105821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (303114102114413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 151557051057006 + 151557051057007.

It is an arithmetic number, because the mean of its divisors is an integer number (151557051057007).

Almost surely, 2^{303114102114013} is an apocalyptic number.

It is an amenable number.

303114102114013 is a deficient number, since it is larger than the sum of its proper divisors (1).

303114102114013 is an equidigital number, since it uses as much as digits as its factorization.

303114102114013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 303114102114013 its reverse (310411201411303), we get a palindrome (613525303525316).

The spelling of 303114102114013 in words is "three hundred three trillion, one hundred fourteen billion, one hundred two million, one hundred fourteen thousand, thirteen".