330001313 has 2 divisors, whose sum is σ = 330001314. Its totient is φ = 330001312.

The previous prime is 330001303. The next prime is 330001319. The reversal of 330001313 is 313100033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 310358689 + 19642624 = 17617^2 + 4432^2 .

It is a cyclic number.

It is not a de Polignac number, because 330001313 - 2¹⁶ = 329935777 is a prime.

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 (330001319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165000656 + 165000657.

It is an arithmetic number, because the mean of its divisors is an integer number (165000657).

Almost surely, 2^330001313 is an apocalyptic number.

It is an amenable number.

330001313 is a deficient number, since it is larger than the sum of its proper divisors (1).

330001313 is an equidigital number, since it uses as much as digits as its factorization.

330001313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 14.

The square root of 330001313 is about 18165.9382636846. The cubic root of 330001313 is about 691.0432395035.

Adding to 330001313 its reverse (313100033), we get a palindrome (643101346).

The spelling of 330001313 in words is "three hundred thirty million, one thousand, three hundred thirteen".