330313 has 2 divisors, whose sum is σ = 330314. Its totient is φ = 330312.

The previous prime is 330311. The next prime is 330329. The reversal of 330313 is 313033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 278784 + 51529 = 528^2 + 227^2 .

It is a cyclic number.

It is not a de Polignac number, because 330313 - 2¹ = 330311 is a prime.

Together with 330311, it forms a pair of twin primes.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 330293 and 330302.

It is not a weakly prime, because it can be changed into another prime (330311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165156 + 165157.

It is an arithmetic number, because the mean of its divisors is an integer number (165157).

2³³⁰³¹³ is an apocalyptic number.

It is an amenable number.

330313 is a deficient number, since it is larger than the sum of its proper divisors (1).

330313 is an equidigital number, since it uses as much as digits as its factorization.

330313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 13.

The square root of 330313 is about 574.7286316167. The cubic root of 330313 is about 69.1260735020.

Adding to 330313 its reverse (313033), we get a palindrome (643346).

The spelling of 330313 in words is "three hundred thirty thousand, three hundred thirteen".