301013220029993 has 2 divisors, whose sum is σ = 301013220029994. Its totient is φ = 301013220029992.

The previous prime is 301013220029939. The next prime is 301013220030077. The reversal of 301013220029993 is 399920022310103.

Together with previous prime (301013220029939) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 260036168655769 + 40977051374224 = 16125637^2 + 6401332^2 .

It is a cyclic number.

It is not a de Polignac number, because 301013220029993 - 2¹⁴ = 301013220013609 is a prime.

It is a super-3 number, since 3×301013220029993³ (a number of 44 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (301013223029993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150506610014996 + 150506610014997.

It is an arithmetic number, because the mean of its divisors is an integer number (150506610014997).

Almost surely, 2^{301013220029993} is an apocalyptic number.

It is an amenable number.

301013220029993 is a deficient number, since it is larger than the sum of its proper divisors (1).

301013220029993 is an equidigital number, since it uses as much as digits as its factorization.

301013220029993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 157464, while the sum is 44.

The spelling of 301013220029993 in words is "three hundred one trillion, thirteen billion, two hundred twenty million, twenty-nine thousand, nine hundred ninety-three".