300213100013 has 2 divisors, whose sum is σ = 300213100014. Its totient is φ = 300213100012.

The previous prime is 300213099941. The next prime is 300213100021. The reversal of 300213100013 is 310001312003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 189884163049 + 110328936964 = 435757^2 + 332158^2 .

It is a cyclic number.

It is not a de Polignac number, because 300213100013 - 2¹⁴ = 300213083629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (300213109013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150106550006 + 150106550007.

It is an arithmetic number, because the mean of its divisors is an integer number (150106550007).

Almost surely, 2^300213100013 is an apocalyptic number.

It is an amenable number.

300213100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

300213100013 is an equidigital number, since it uses as much as digits as its factorization.

300213100013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 300213100013 its reverse (310001312003), we get a palindrome (610214412016).

The spelling of 300213100013 in words is "three hundred billion, two hundred thirteen million, one hundred thousand, thirteen".