11331 has 6 divisors (see below), whose sum is σ = 16380. Its totient is φ = 7548.

The previous prime is 11329. The next prime is 11351. The reversal of 11331 is 13311.

11331 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11331 - 2^{1} = 11329 is a prime.

It is a super-3 number, since 3×11331^{3} = 4364414333073, which contains 333 as substring. Note that it is a super-*d* number also for *d* = 2.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1259 = 11331 / (1 + 1 + 3 + 3 + 1).

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 15.

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 5 ways as a sum of consecutive naturals, for example, 621 + ... + 638.

It is an arithmetic number, because the mean of its divisors is an integer number (2730).

2^{11331} is an apocalyptic number.

11331 is a deficient number, since it is larger than the sum of its proper divisors (5049).

11331 is a wasteful number, since it uses less digits than its factorization.

11331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1262 counting only the distinct ones).

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

The square root of 11331 is about 106.4471699953. The cubic root of 11331 is about 22.4606720391.

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

It can be divided in two parts, 113 and 31, that added together give a square (144 = 12^{2}).

The spelling of 11331 in words is "eleven thousand, three hundred thirty-one".

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