11313 has 8 divisors (see below), whose sum is σ = 16800. Its totient is φ = 7524.

The previous prime is 11311. The next prime is 11317. The reversal of 11313 is 31311.

It is not a de Polignac number, because 11313 - 2¹ = 11311 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 plaindrome in base 12.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 11295 and 11304.

It is not an unprimeable number, because it can be changed into a prime (11311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 183 + ... + 236.

It is an arithmetic number, because the mean of its divisors is an integer number (2100).

It is an amenable number.

11313 is a deficient number, since it is larger than the sum of its proper divisors (5487).

11313 is an equidigital number, since it uses as much as digits as its factorization.

11313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 422 counting only the distinct ones).

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

The square root of 11313 is about 106.3625874074. The cubic root of 11313 is about 22.4487723431.

Adding to 11313 its reverse (31311), we get a palindrome (42624).

It can be divided in two parts, 11 and 313, that multiplied together give a palindrome (3443).

The spelling of 11313 in words is "eleven thousand, three hundred thirteen".