11011 has 12 divisors (see below), whose sum is σ = 14896. Its totient is φ = 7920.

The previous prime is 11003. The next prime is 11027.

11011 = T₂₀ + T₂₁ + ... + T₄₁.

11011 is nontrivially palindromic in base 10.

11011 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 11011 - 2³ = 11003 is a prime.

11011 is a strobogrammatic number because it is the same when read upside-down.

11011 is a lucky number.

It is a nialpdrome in base 11.

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 11 ways as a sum of consecutive naturals, for example, 841 + ... + 853.

2¹¹⁰¹¹ is an apocalyptic number.

11011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11011 is a deficient number, since it is larger than the sum of its proper divisors (3885).

11011 is a wasteful number, since it uses less digits than its factorization.

11011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

The square root of 11011 is about 104.9333121559. The cubic root of 11011 is about 22.2472117029.

It can be divided in two parts, 110 and 11, that added together give a palindrome (121).

The spelling of 11011 in words is "eleven thousand, eleven", and thus it is an iban number.