123313 has 4 divisors (see below), whose sum is σ = 124020. Its totient is φ = 122608.

The previous prime is 123311. The next prime is 123323. The reversal of 123313 is 313321.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 16384 + 106929 = 128^2 + 327^2 .

It is a cyclic number.

It is not a de Polignac number, because 123313 - 2¹ = 123311 is a prime.

It is a Duffinian number.

123313 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 123293 and 123302.

It is not an unprimeable number, because it can be changed into a prime (123311) 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, 123 + ... + 511.

It is an arithmetic number, because the mean of its divisors is an integer number (31005).

2¹²³³¹³ is an apocalyptic number.

It is an amenable number.

123313 is a deficient number, since it is larger than the sum of its proper divisors (707).

123313 is an equidigital number, since it uses as much as digits as its factorization.

123313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706.

The product of its digits is 54, while the sum is 13.

The square root of 123313 is about 351.1595079163. The cubic root of 123313 is about 49.7740471106.

Adding to 123313 its reverse (313321), we get a palindrome (436634).

The spelling of 123313 in words is "one hundred twenty-three thousand, three hundred thirteen".