13311 has 16 divisors (see below), whose sum is σ = 21600. Its totient is φ = 8064.

The previous prime is 13309. The next prime is 13313. The reversal of 13311 is 11331.

It is an interprime number because it is at equal distance from previous prime (13309) and next prime (13313).

It is not a de Polignac number, because 13311 - 2¹ = 13309 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 16.

It is a zygodrome in base 2 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 13293 and 13302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313) 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, 445 + ... + 473.

It is an arithmetic number, because the mean of its divisors is an integer number (1350).

2¹³³¹¹ is an apocalyptic number.

13311 is a deficient number, since it is larger than the sum of its proper divisors (8289).

13311 is a wasteful number, since it uses less digits than its factorization.

13311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 49 counting only the distinct ones).

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

The square root of 13311 is about 115.3733071382. The cubic root of 13311 is about 23.6993750837.

Adding to 13311 its reverse (11331), we get a palindrome (24642).

It can be divided in two parts, 133 and 11, that added together give a square (144 = 12²).

The spelling of 13311 in words is "thirteen thousand, three hundred eleven".