13011 has 4 divisors (see below), whose sum is σ = 17352. Its totient is φ = 8672.

The previous prime is 13009. The next prime is 13033. The reversal of 13011 is 11031.

13011 is nontrivially palindromic in base 2.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 11031 = 3 ⋅3677.

It is a cyclic number.

It is not a de Polignac number, because 13011 - 2¹ = 13009 is a prime.

It is a super-2 number, since 2×13011² = 338572242, which contains 22 as substring.

It is a D-number.

13011 is a lucky number.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (13001) 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, 2166 + ... + 2171.

It is an arithmetic number, because the mean of its divisors is an integer number (4338).

2¹³⁰¹¹ is an apocalyptic number.

13011 is a deficient number, since it is larger than the sum of its proper divisors (4341).

13011 is an equidigital number, since it uses as much as digits as its factorization.

13011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4340.

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

The square root of 13011 is about 114.0657705011. The cubic root of 13011 is about 23.5199769772.

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

It can be divided in two parts, 130 and 11, that added together give a palindrome (141).

The spelling of 13011 in words is "thirteen thousand, eleven".