13129493 has 8 divisors (see below), whose sum is σ = 14167608. Its totient is φ = 12095424.

The previous prime is 13129483. The next prime is 13129499. The reversal of 13129493 is 39492131.

13129493 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10609 + 13118884 = 103^2 + 3622^2 .

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 13129493 - 2⁴ = 13129477 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13129499) 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 7 ways as a sum of consecutive naturals, for example, 12455 + ... + 13467.

It is an arithmetic number, because the mean of its divisors is an integer number (1770951).

Almost surely, 2^13129493 is an apocalyptic number.

13129493 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13129493 is a deficient number, since it is larger than the sum of its proper divisors (1038115).

13129493 is a wasteful number, since it uses less digits than its factorization.

13129493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023.

The product of its digits is 5832, while the sum is 32.

The square root of 13129493 is about 3623.4642263999. The cubic root of 13129493 is about 235.9116122613.

The spelling of 13129493 in words is "thirteen million, one hundred twenty-nine thousand, four hundred ninety-three".