313313030011013 has 2 divisors, whose sum is σ = 313313030011014. Its totient is φ = 313313030011012.

The previous prime is 313313030010983. The next prime is 313313030011067. The reversal of 313313030011013 is 310110030313313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 246214290941089 + 67098739069924 = 15691217^2 + 8191382^2 .

It is a cyclic number.

It is not a de Polignac number, because 313313030011013 - 2¹⁰ = 313313030009989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 313313030011013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313313230011013) 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, 156656515005506 + 156656515005507.

It is an arithmetic number, because the mean of its divisors is an integer number (156656515005507).

Almost surely, 2^{313313030011013} is an apocalyptic number.

It is an amenable number.

313313030011013 is a deficient number, since it is larger than the sum of its proper divisors (1).

313313030011013 is an equidigital number, since it uses as much as digits as its factorization.

313313030011013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 313313030011013 its reverse (310110030313313), we get a palindrome (623423060324326).

The spelling of 313313030011013 in words is "three hundred thirteen trillion, three hundred thirteen billion, thirty million, eleven thousand, thirteen".