330113 has 6 divisors (see below), whose sum is σ = 384066. Its totient is φ = 282912.

The previous prime is 330103. The next prime is 330131. The reversal of 330113 is 311033.

It can be written as a sum of positive squares in only one way, i.e., 283024 + 47089 = 532^2 + 217^2 .

It is not a de Polignac number, because 330113 - 2⁴ = 330097 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 330094 and 330103.

It is not an unprimeable number, because it can be changed into a prime (330103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3320 + ... + 3417.

It is an arithmetic number, because the mean of its divisors is an integer number (64011).

2³³⁰¹¹³ is an apocalyptic number.

It is an amenable number.

330113 is a deficient number, since it is larger than the sum of its proper divisors (53953).

330113 is an equidigital number, since it uses as much as digits as its factorization.

330113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6751 (or 6744 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 330113 is about 574.5546101112. The cubic root of 330113 is about 69.1121190548.

Adding to 330113 its reverse (311033), we get a palindrome (641146).

The spelling of 330113 in words is "three hundred thirty thousand, one hundred thirteen".