13029 has 8 divisors (see below), whose sum is σ = 17952. Its totient is φ = 8400.

The previous prime is 13009. The next prime is 13033. The reversal of 13029 is 92031.

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

It is not a de Polignac number, because 13029 - 2⁹ = 12517 is a prime.

13029 is a lucky number.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 12999 and 13017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13009) 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, 79 + ... + 179.

It is an arithmetic number, because the mean of its divisors is an integer number (2244).

2¹³⁰²⁹ is an apocalyptic number.

It is an amenable number.

13029 is a deficient number, since it is larger than the sum of its proper divisors (4923).

13029 is a wasteful number, since it uses less digits than its factorization.

13029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 13029 is about 114.1446450781. The cubic root of 13029 is about 23.5308181757.

The spelling of 13029 in words is "thirteen thousand, twenty-nine".