330013 has 4 divisors (see below), whose sum is σ = 331168. Its totient is φ = 328860.

The previous prime is 329999. The next prime is 330017. The reversal of 330013 is 310033.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 310033 = 389 ⋅797.

It is a cyclic number.

It is not a de Polignac number, because 330013 - 2¹³ = 321821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330017) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 208 + ... + 838.

It is an arithmetic number, because the mean of its divisors is an integer number (82792).

2³³⁰⁰¹³ is an apocalyptic number.

It is an amenable number.

330013 is a deficient number, since it is larger than the sum of its proper divisors (1155).

330013 is an equidigital number, since it uses as much as digits as its factorization.

330013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154.

The product of its (nonzero) digits is 27, while the sum is 10.

The square root of 330013 is about 574.4675795900. The cubic root of 330013 is about 69.1051397175.

Adding to 330013 its reverse (310033), we get a palindrome (640046).

The spelling of 330013 in words is "three hundred thirty thousand, thirteen".