13188029 has 2 divisors, whose sum is σ = 13188030. Its totient is φ = 13188028.

The previous prime is 13188013. The next prime is 13188041. The reversal of 13188029 is 92088131.

13188029 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7828804 + 5359225 = 2798^2 + 2315^2 .

It is an emirp because it is prime and its reverse (92088131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13188029 - 2⁴ = 13188013 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is equal to p₈₆₀₆₆₆ and since 13188029 and 860666 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 13187986 and 13188004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13188829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6594014 + 6594015.

It is an arithmetic number, because the mean of its divisors is an integer number (6594015).

Almost surely, 2^13188029 is an apocalyptic number.

It is an amenable number.

13188029 is a deficient number, since it is larger than the sum of its proper divisors (1).

13188029 is an equidigital number, since it uses as much as digits as its factorization.

13188029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 13188029 is about 3631.5325965768. The cubic root of 13188029 is about 236.2616854517.

The spelling of 13188029 in words is "thirteen million, one hundred eighty-eight thousand, twenty-nine".