331113 has 16 divisors (see below), whose sum is σ = 480320. Its totient is φ = 202176.

The previous prime is 331099. The next prime is 331127. The reversal of 331113 is 311133.

It is an interprime number because it is at equal distance from previous prime (331099) and next prime (331127).

It is not a de Polignac number, because 331113 - 2⁵ = 331081 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

331113 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (331153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2031 + ... + 2187.

It is an arithmetic number, because the mean of its divisors is an integer number (30020).

2³³¹¹¹³ is an apocalyptic number.

It is an amenable number.

331113 is a deficient number, since it is larger than the sum of its proper divisors (149207).

331113 is a wasteful number, since it uses less digits than its factorization.

331113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216.

The product of its digits is 27, while the sum is 12.

The square root of 331113 is about 575.4241913580. The cubic root of 331113 is about 69.1818350308.

Adding to 331113 its reverse (311133), we get a palindrome (642246).

It can be divided in two parts, 331 and 113, that added together give a palindrome (444).

The spelling of 331113 in words is "three hundred thirty-one thousand, one hundred thirteen".