13013205 has 8 divisors (see below), whose sum is σ = 20821152. Its totient is φ = 6940368.

The previous prime is 13013197. The next prime is 13013227. The reversal of 13013205 is 50231031.

It is a happy number.

13013205 is digitally balanced in base 3, 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 not a de Polignac number, because 13013205 - 2³ = 13013197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 867547 = 13013205 / (1 + 3 + 0 + 1 + 3 + 2 + 0 + 5).

It is a Curzon number.

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, 433759 + ... + 433788.

It is an arithmetic number, because the mean of its divisors is an integer number (2602644).

Almost surely, 2^13013205 is an apocalyptic number.

13013205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13013205 is a deficient number, since it is larger than the sum of its proper divisors (7807947).

13013205 is an equidigital number, since it uses as much as digits as its factorization.

13013205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867555.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 13013205 is about 3607.3820147026. The cubic root of 13013205 is about 235.2130556118.

Adding to 13013205 its reverse (50231031), we get a palindrome (63244236).

The spelling of 13013205 in words is "thirteen million, thirteen thousand, two hundred five".