193313 has 4 divisors (see below), whose sum is σ = 195840. Its totient is φ = 190788.

The previous prime is 193301. The next prime is 193327. The reversal of 193313 is 313391.

193313 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: 313391 = 13 ⋅24107.

It is a cyclic number.

It is not a de Polignac number, because 193313 - 2⁸ = 193057 is a prime.

It is a Duffinian number.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (193373) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1145 + ... + 1302.

It is an arithmetic number, because the mean of its divisors is an integer number (48960).

2¹⁹³³¹³ is an apocalyptic number.

It is an amenable number.

193313 is a deficient number, since it is larger than the sum of its proper divisors (2527).

193313 is an equidigital number, since it uses as much as digits as its factorization.

193313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526.

The product of its digits is 243, while the sum is 20.

The square root of 193313 is about 439.6737426775. The cubic root of 193313 is about 57.8211892953.

The spelling of 193313 in words is "one hundred ninety-three thousand, three hundred thirteen".