300406562100313 has 2 divisors, whose sum is σ = 300406562100314. Its totient is φ = 300406562100312.

The previous prime is 300406562100287. The next prime is 300406562100347. The reversal of 300406562100313 is 313001265604003.

It is an a-pointer prime, because the next prime (300406562100347) can be obtained adding 300406562100313 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 251992352787289 + 48414209313024 = 15874267^2 + 6958032^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-300406562100313 is a prime.

It is not a weakly prime, because it can be changed into another prime (300406562500313) 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, 150203281050156 + 150203281050157.

It is an arithmetic number, because the mean of its divisors is an integer number (150203281050157).

Almost surely, 2^{300406562100313} is an apocalyptic number.

It is an amenable number.

300406562100313 is a deficient number, since it is larger than the sum of its proper divisors (1).

300406562100313 is an equidigital number, since it uses as much as digits as its factorization.

300406562100313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 34.

The spelling of 300406562100313 in words is "three hundred trillion, four hundred six billion, five hundred sixty-two million, one hundred thousand, three hundred thirteen".