11031 has 4 divisors (see below), whose sum is σ = 14712. Its totient is φ = 7352.

The previous prime is 11027. The next prime is 11047. The reversal of 11031 is 13011.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 13011 = 3 ⋅4337.

It is a cyclic number.

It is not a de Polignac number, because 11031 - 2² = 11027 is a prime.

It is a super-2 number, since 2×11031² = 243365922, which contains 22 as substring.

It is a D-number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 11031.

It is not an unprimeable number, because it can be changed into a prime (11071) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1836 + ... + 1841.

It is an arithmetic number, because the mean of its divisors is an integer number (3678).

2¹¹⁰³¹ is an apocalyptic number.

11031 is a deficient number, since it is larger than the sum of its proper divisors (3681).

11031 is an equidigital number, since it uses as much as digits as its factorization.

11031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3680.

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 11031 is about 105.0285675424. The cubic root of 11031 is about 22.2606732448.

Adding to 11031 its reverse (13011), we get a palindrome (24042).

It can be divided in two parts, 110 and 31, that added together give a palindrome (141).

The spelling of 11031 in words is "eleven thousand, thirty-one".