13055133 has 64 divisors (see below), whose sum is σ = 23708160. Its totient is φ = 6193152.

The previous prime is 13055131. The next prime is 13055137. The reversal of 13055133 is 33155031.

It is a happy number.

13055133 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 13055133 - 2¹ = 13055131 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13055131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134541 + ... + 134637.

It is an arithmetic number, because the mean of its divisors is an integer number (370440).

Almost surely, 2^13055133 is an apocalyptic number.

13055133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13055133 is a deficient number, since it is larger than the sum of its proper divisors (10653027).

13055133 is a wasteful number, since it uses less digits than its factorization.

13055133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166.

The product of its (nonzero) digits is 675, while the sum is 21.

The square root of 13055133 is about 3613.1887578703. The cubic root of 13055133 is about 235.4654003198.

The spelling of 13055133 in words is "thirteen million, fifty-five thousand, one hundred thirty-three".