301121130012013 has 2 divisors, whose sum is σ = 301121130012014. Its totient is φ = 301121130012012.

The previous prime is 301121130011893. The next prime is 301121130012119. The reversal of 301121130012013 is 310210031121103.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 285790757190409 + 15330372821604 = 16905347^2 + 3915402^2 .

It is a cyclic number.

It is not a de Polignac number, because 301121130012013 - 2³³ = 301112540077421 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (301121130013013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150560565006006 + 150560565006007.

It is an arithmetic number, because the mean of its divisors is an integer number (150560565006007).

Almost surely, 2^{301121130012013} is an apocalyptic number.

It is an amenable number.

301121130012013 is a deficient number, since it is larger than the sum of its proper divisors (1).

301121130012013 is an equidigital number, since it uses as much as digits as its factorization.

301121130012013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 301121130012013 its reverse (310210031121103), we get a palindrome (611331161133116).

The spelling of 301121130012013 in words is "three hundred one trillion, one hundred twenty-one billion, one hundred thirty million, twelve thousand, thirteen".