13138205 has 6 divisors (see below), whose sum is σ = 15775578. Its totient is φ = 10504080.

The previous prime is 13138201. The next prime is 13138211. The reversal of 13138205 is 50283131.

13138205 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 4251844 + 8886361 = 2062^2 + 2981^2 .

It is not a de Polignac number, because 13138205 - 2² = 13138201 is a prime.

It is a super-2 number, since 2×13138205² = 345224861244050, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13138201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7295 + ... + 8915.

It is an arithmetic number, because the mean of its divisors is an integer number (2629263).

Almost surely, 2^13138205 is an apocalyptic number.

It is an amenable number.

13138205 is a deficient number, since it is larger than the sum of its proper divisors (2637373).

13138205 is an frugal number, since it uses more digits than its factorization.

13138205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3247 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 13138205 is about 3624.6661915272. Note that the first 3 decimals coincide. The cubic root of 13138205 is about 235.9637799916.

Multiplying 13138205 by its product of nonzero digits (720), we get a square (9459507600 = 97260²).

The spelling of 13138205 in words is "thirteen million, one hundred thirty-eight thousand, two hundred five".