13055 has 8 divisors (see below), whose sum is σ = 17952. Its totient is φ = 8928.

The previous prime is 13049. The next prime is 13063. The reversal of 13055 is 55031.

13055 = T₃₄ + T₃₅ + ... + T₄₈.

13055 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13055 - 2⁸ = 12799 is a prime.

It is a Duffinian number.

13055 is strictly pandigital in base 6.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152 + ... + 221.

It is an arithmetic number, because the mean of its divisors is an integer number (2244).

2¹³⁰⁵⁵ is an apocalyptic number.

13055 is a deficient number, since it is larger than the sum of its proper divisors (4897).

13055 is an equidigital number, since it uses as much as digits as its factorization.

13055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385.

The product of its (nonzero) digits is 75, while the sum is 14.

The square root of 13055 is about 114.2584788976. The cubic root of 13055 is about 23.5464600711.

Subtracting from 13055 its sum of digits (14), we obtain a triangular number (13041 = T₁₆₁).

Adding to 13055 its reverse (55031), we get a palindrome (68086).

The spelling of 13055 in words is "thirteen thousand, fifty-five".