123313113 has 48 divisors (see below), whose sum is σ = 224280576. Its totient is φ = 63421920.

The previous prime is 123313109. The next prime is 123313129. The reversal of 123313113 is 311313321.

It is a happy number.

It is not a de Polignac number, because 123313113 - 2² = 123313109 is a prime.

It is a super-2 number, since 2×123313113² = 30412247675501538, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123313163) by changing a digit.

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, 73320 + ... + 74982.

It is an arithmetic number, because the mean of its divisors is an integer number (4672512).

Almost surely, 2^123313113 is an apocalyptic number.

It is an amenable number.

123313113 is a deficient number, since it is larger than the sum of its proper divisors (100967463).

123313113 is a wasteful number, since it uses less digits than its factorization.

123313113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1791 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 123313113 is about 11104.6437583562. The cubic root of 123313113 is about 497.7406231440.

Adding to 123313113 its reverse (311313321), we get a palindrome (434626434).

It can be divided in two parts, 123 and 313113, that added together give a triangular number (313236 = T₇₉₁).

The spelling of 123313113 in words is "one hundred twenty-three million, three hundred thirteen thousand, one hundred thirteen".