13389129 has 36 divisors (see below), whose sum is σ = 22050756. Its totient is φ = 7781184.

The previous prime is 13389127. The next prime is 13389137. The reversal of 13389129 is 92198331.

It can be written as a sum of positive squares in 2 ways, for example, as 1299600 + 12089529 = 1140^2 + 3477^2 .

It is not a de Polignac number, because 13389129 - 2¹ = 13389127 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13389093 and 13389102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13389121) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 42079 + ... + 42395.

It is an arithmetic number, because the mean of its divisors is an integer number (612521).

Almost surely, 2^13389129 is an apocalyptic number.

13389129 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

13389129 is a deficient number, since it is larger than the sum of its proper divisors (8661627).

13389129 is a wasteful number, since it uses less digits than its factorization.

13389129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 352 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 13389129 is about 3659.1158768205. The cubic root of 13389129 is about 237.4565253757.

The spelling of 13389129 in words is "thirteen million, three hundred eighty-nine thousand, one hundred twenty-nine".