13026 has 16 divisors (see below), whose sum is σ = 28224. Its totient is φ = 3984.

The previous prime is 13009. The next prime is 13033. The reversal of 13026 is 62031.

13026 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

13026 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

It is a Curzon number.

It is a nialpdrome in base 11.

It is an unprimeable number.

13026 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6 + ... + 161.

It is an arithmetic number, because the mean of its divisors is an integer number (1764).

2¹³⁰²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14112).

13026 is an abundant number, since it is smaller than the sum of its proper divisors (15198).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13026 is a wasteful number, since it uses less digits than its factorization.

13026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 13026 is about 114.1315031006. The cubic root of 13026 is about 23.5290120030.

Adding to 13026 its reverse (62031), we get a palindrome (75057).

The spelling of 13026 in words is "thirteen thousand, twenty-six".