13138229 has 18 divisors (see below), whose sum is σ = 15168870. Its totient is φ = 11371776.

The previous prime is 13138217. The next prime is 13138243. The reversal of 13138229 is 92283131.

13138229 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 9 ways, for example, as 6115729 + 7022500 = 2473^2 + 2650^2 .

It is not a de Polignac number, because 13138229 - 2⁸ = 13137973 is a prime.

It is a super-2 number, since 2×13138229² = 345226122512882, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13138249) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48707 + ... + 48975.

It is an arithmetic number, because the mean of its divisors is an integer number (842715).

Almost surely, 2^13138229 is an apocalyptic number.

It is an amenable number.

13138229 is a deficient number, since it is larger than the sum of its proper divisors (2030641).

13138229 is a wasteful number, since it uses less digits than its factorization.

13138229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 299 counting only the distinct ones).

The product of its digits is 2592, while the sum is 29.

The square root of 13138229 is about 3624.6695021753. The cubic root of 13138229 is about 235.9639236725.

The spelling of 13138229 in words is "thirteen million, one hundred thirty-eight thousand, two hundred twenty-nine".