300301302131293 has 2 divisors, whose sum is σ = 300301302131294. Its totient is φ = 300301302131292.

The previous prime is 300301302131291. The next prime is 300301302131309. The reversal of 300301302131293 is 392131203103003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 263365575445764 + 36935726685529 = 16228542^2 + 6077477^2 .

It is a cyclic number.

It is not a de Polignac number, because 300301302131293 - 2¹ = 300301302131291 is a prime.

Together with 300301302131291, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (300301302131291) 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, 150150651065646 + 150150651065647.

It is an arithmetic number, because the mean of its divisors is an integer number (150150651065647).

Almost surely, 2^{300301302131293} is an apocalyptic number.

It is an amenable number.

300301302131293 is a deficient number, since it is larger than the sum of its proper divisors (1).

300301302131293 is an equidigital number, since it uses as much as digits as its factorization.

300301302131293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 31.

Adding to 300301302131293 its reverse (392131203103003), we get a palindrome (692432505234296).

The spelling of 300301302131293 in words is "three hundred trillion, three hundred one billion, three hundred two million, one hundred thirty-one thousand, two hundred ninety-three".