3113 has 4 divisors (see below), whose sum is σ = 3408. Its totient is φ = 2820.

The previous prime is 3109. The next prime is 3119.

3113 is nontrivially palindromic in base 10.

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.

It is a cyclic number.

It is not a de Polignac number, because 3113 - 2² = 3109 is a prime.

It is a Duffinian number.

It is a plaindrome in base 6 and base 13.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 3113.

It is not an unprimeable number, because it can be changed into a prime (3119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 131 + ... + 152.

It is an arithmetic number, because the mean of its divisors is an integer number (852).

2³¹¹³ is an apocalyptic number.

It is an amenable number.

3113 is a deficient number, since it is larger than the sum of its proper divisors (295).

3113 is a wasteful number, since it uses less digits than its factorization.

3113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294.

The product of its digits is 9, while the sum is 8.

The square root of 3113 is about 55.7942649383. The cubic root of 3113 is about 14.6013509728.

It can be divided in two parts, 31 and 13, that added together give a palindrome (44).

The spelling of 3113 in words is "three thousand, one hundred thirteen".