313300301100013 has 2 divisors, whose sum is σ = 313300301100014. Its totient is φ = 313300301100012.

The previous prime is 313300301099999. The next prime is 313300301100029. The reversal of 313300301100013 is 310001103003313.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 284127534102889 + 29172766997124 = 16856083^2 + 5401182^2 .

It is a cyclic number.

It is not a de Polignac number, because 313300301100013 - 2⁹ = 313300301099501 is a prime.

It is a super-3 number, since 3×313300301100013³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313300301160013) 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, 156650150550006 + 156650150550007.

It is an arithmetic number, because the mean of its divisors is an integer number (156650150550007).

Almost surely, 2^{313300301100013} is an apocalyptic number.

It is an amenable number.

313300301100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

313300301100013 is an equidigital number, since it uses as much as digits as its factorization.

313300301100013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 313300301100013 its reverse (310001103003313), we get a palindrome (623301404103326).

The spelling of 313300301100013 in words is "three hundred thirteen trillion, three hundred billion, three hundred one million, one hundred thousand, thirteen".