330201020313013 has 2 divisors, whose sum is σ = 330201020313014. Its totient is φ = 330201020313012.

The previous prime is 330201020312981. The next prime is 330201020313107. The reversal of 330201020313013 is 310313020102033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 328207101221169 + 1993919091844 = 18116487^2 + 1412062^2 .

It is a cyclic number.

It is not a de Polignac number, because 330201020313013 - 2⁵ = 330201020312981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (330201020313613) 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, 165100510156506 + 165100510156507.

It is an arithmetic number, because the mean of its divisors is an integer number (165100510156507).

Almost surely, 2^{330201020313013} is an apocalyptic number.

It is an amenable number.

330201020313013 is a deficient number, since it is larger than the sum of its proper divisors (1).

330201020313013 is an equidigital number, since it uses as much as digits as its factorization.

330201020313013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 330201020313013 its reverse (310313020102033), we get a palindrome (640514040415046).

The spelling of 330201020313013 in words is "three hundred thirty trillion, two hundred one billion, twenty million, three hundred thirteen thousand, thirteen".