123203313 has 6 divisors (see below), whose sum is σ = 177960354. Its totient is φ = 82135536.

The previous prime is 123203293. The next prime is 123203321. The reversal of 123203313 is 313302321.

123203313 is a `hidden beast` number, since 12 + 320 + 331 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 80784144 + 42419169 = 8988^2 + 6513^2 .

It is not a de Polignac number, because 123203313 - 2⁹ = 123202801 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (123203363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6844620 + ... + 6844637.

It is an arithmetic number, because the mean of its divisors is an integer number (29660059).

Almost surely, 2^123203313 is an apocalyptic number.

It is an amenable number.

123203313 is a deficient number, since it is larger than the sum of its proper divisors (54757041).

123203313 is a wasteful number, since it uses less digits than its factorization.

123203313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13689263 (or 13689260 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 123203313 is about 11099.6987796967. The cubic root of 123203313 is about 497.5928471610.

Adding to 123203313 its reverse (313302321), we get a palindrome (436505634).

The spelling of 123203313 in words is "one hundred twenty-three million, two hundred three thousand, three hundred thirteen".