13300205 has 16 divisors (see below), whose sum is σ = 17359920. Its totient is φ = 9741312.

The previous prime is 13300181. The next prime is 13300219. The reversal of 13300205 is 50200331.

It can be written as a sum of positive squares in 8 ways, for example, as 5080516 + 8219689 = 2254^2 + 2867^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13300205 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13300205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1031 + ... + 5259.

It is an arithmetic number, because the mean of its divisors is an integer number (1084995).

Almost surely, 2^13300205 is an apocalyptic number.

It is an amenable number.

13300205 is a deficient number, since it is larger than the sum of its proper divisors (4059715).

13300205 is a wasteful number, since it uses less digits than its factorization.

13300205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4288.

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 13300205 is about 3646.9446115893. The cubic root of 13300205 is about 236.9296675110.

Adding to 13300205 its reverse (50200331), we get a palindrome (63500536).

The spelling of 13300205 in words is "thirteen million, three hundred thousand, two hundred five".