333113 has 6 divisors (see below), whose sum is σ = 366282. Its totient is φ = 302720.

The previous prime is 333107. The next prime is 333131. The reversal of 333113 is 311333.

It can be written as a sum of positive squares in only one way, i.e., 327184 + 5929 = 572^2 + 77^2 .

It is not a de Polignac number, because 333113 - 2⁴ = 333097 is a prime.

It is a super-2 number, since 2×333113² = 221928541538, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (333103) 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, 1256 + ... + 1497.

It is an arithmetic number, because the mean of its divisors is an integer number (61047).

2³³³¹¹³ is an apocalyptic number.

It is an amenable number.

333113 is a deficient number, since it is larger than the sum of its proper divisors (33169).

333113 is a wasteful number, since it uses less digits than its factorization.

333113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775 (or 2764 counting only the distinct ones).

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

The square root of 333113 is about 577.1594233832. The cubic root of 333113 is about 69.3208470077.

Adding to 333113 its reverse (311333), we get a palindrome (644446).

The spelling of 333113 in words is "three hundred thirty-three thousand, one hundred thirteen".