13113 has 12 divisors (see below), whose sum is σ = 19968. Its totient is φ = 8280.

The previous prime is 13109. The next prime is 13121. The reversal of 13113 is 31131.

It is not a de Polignac number, because 13113 - 2² = 13109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a D-number.

It is a Curzon number.

13113 is a lucky number.

It is a plaindrome in base 16.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 13095 and 13104.

It is not an unprimeable number, because it can be changed into a prime (13103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 256 + ... + 302.

It is an arithmetic number, because the mean of its divisors is an integer number (1664).

2¹³¹¹³ is an apocalyptic number.

It is an amenable number.

13113 is a deficient number, since it is larger than the sum of its proper divisors (6855).

13113 is a wasteful number, since it uses less digits than its factorization.

13113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 81 counting only the distinct ones).

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

The square root of 13113 is about 114.5120081040. The cubic root of 13113 is about 23.5812788426.

Adding to 13113 its reverse (31131), we get a palindrome (44244).

It can be divided in two parts, 131 and 13, that added together give a square (144 = 12²).

The spelling of 13113 in words is "thirteen thousand, one hundred thirteen".