13007129 has 8 divisors (see below), whose sum is σ = 13281408. Its totient is φ = 12735520.

The previous prime is 13007123. The next prime is 13007143. The reversal of 13007129 is 92170031.

13007129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13007129 - 2²⁰ = 11958553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13007123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11309 + ... + 12405.

It is an arithmetic number, because the mean of its divisors is an integer number (1660176).

Almost surely, 2^13007129 is an apocalyptic number.

It is an amenable number.

13007129 is a deficient number, since it is larger than the sum of its proper divisors (274279).

13007129 is a wasteful number, since it uses less digits than its factorization.

13007129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335.

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 13007129 is about 3606.5397543906. The cubic root of 13007129 is about 235.1764421100.

The spelling of 13007129 in words is "thirteen million, seven thousand, one hundred twenty-nine".