123313005 has 48 divisors (see below), whose sum is σ = 224355456. Its totient is φ = 62536320.

The previous prime is 123312977. The next prime is 123313027. The reversal of 123313005 is 500313321.

It is not a de Polignac number, because 123313005 - 2⁶ = 123312941 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292695 + ... + 293115.

It is an arithmetic number, because the mean of its divisors is an integer number (4674072).

Almost surely, 2^123313005 is an apocalyptic number.

123313005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123313005 is a deficient number, since it is larger than the sum of its proper divisors (101042451).

123313005 is a wasteful number, since it uses less digits than its factorization.

123313005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 123313005 is about 11104.6388955247. The cubic root of 123313005 is about 497.7404778336.

Adding to 123313005 its reverse (500313321), we get a palindrome (623626326).

The spelling of 123313005 in words is "one hundred twenty-three million, three hundred thirteen thousand, five".