123680313 has 24 divisors (see below), whose sum is σ = 183639456. Its totient is φ = 80164800.

The previous prime is 123680311. The next prime is 123680317. The reversal of 123680313 is 313086321.

It is a happy number.

It is not a de Polignac number, because 123680313 - 2¹ = 123680311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123680311) 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 23 ways as a sum of consecutive naturals, for example, 210406 + ... + 210992.

It is an arithmetic number, because the mean of its divisors is an integer number (7651644).

Almost surely, 2^123680313 is an apocalyptic number.

It is an amenable number.

123680313 is a deficient number, since it is larger than the sum of its proper divisors (59959143).

123680313 is a wasteful number, since it uses less digits than its factorization.

123680313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 123680313 is about 11121.1650918418. The cubic root of 123680313 is about 498.2341884941.

The spelling of 123680313 in words is "one hundred twenty-three million, six hundred eighty thousand, three hundred thirteen".