13193 has 4 divisors (see below), whose sum is σ = 13440. Its totient is φ = 12948.

The previous prime is 13187. The next prime is 13217. The reversal of 13193 is 39131.

13193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 39131 = 109 ⋅359.

It is a cyclic number.

It is not a de Polignac number, because 13193 - 2⁴ = 13177 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 16.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (13103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5 + ... + 162.

It is an arithmetic number, because the mean of its divisors is an integer number (3360).

2¹³¹⁹³ is an apocalyptic number.

It is an amenable number.

13193 is a deficient number, since it is larger than the sum of its proper divisors (247).

13193 is an equidigital number, since it uses as much as digits as its factorization.

13193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246.

The product of its digits is 81, while the sum is 17.

The square root of 13193 is about 114.8607853012. The cubic root of 13193 is about 23.6291366645.

The spelling of 13193 in words is "thirteen thousand, one hundred ninety-three".