11131 has 2 divisors, whose sum is σ = 11132. Its totient is φ = 11130.

The previous prime is 11119. The next prime is 11149. The reversal of 11131 is 13111.

It is a happy number.

11131 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 11131 - 2⁷ = 11003 is a prime.

It is a super-2 number, since 2×11131² = 247798322, which contains 22 as substring.

It is the 106-th Hogben number.

It is a nialpdrome in base 7.

It is not a weakly prime, because it can be changed into another prime (11161) by changing a digit.

It is a nontrivial repunit in base 105.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5565 + 5566.

It is an arithmetic number, because the mean of its divisors is an integer number (5566).

2¹¹¹³¹ is an apocalyptic number.

11131 is a deficient number, since it is larger than the sum of its proper divisors (1).

11131 is an equidigital number, since it uses as much as digits as its factorization.

11131 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3, while the sum is 7.

The square root of 11131 is about 105.5035544425. The cubic root of 11131 is about 22.3277380107.

Adding to 11131 its reverse (13111), we get a palindrome (24242).

It can be divided in two parts, 11 and 131, that multiplied together give a palindrome (1441).

The spelling of 11131 in words is "eleven thousand, one hundred thirty-one".