123313109 has 2 divisors, whose sum is σ = 123313110. Its totient is φ = 123313108.

The previous prime is 123313081. The next prime is 123313129. The reversal of 123313109 is 901313321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122036209 + 1276900 = 11047^2 + 1130^2 .

It is an emirp because it is prime and its reverse (901313321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123313109 - 2⁸ = 123312853 is a prime.

It is a super-2 number, since 2×123313109² = 30412245702491762, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123313129) 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 as a sum of consecutive naturals, namely, 61656554 + 61656555.

It is an arithmetic number, because the mean of its divisors is an integer number (61656555).

Almost surely, 2^123313109 is an apocalyptic number.

It is an amenable number.

123313109 is a deficient number, since it is larger than the sum of its proper divisors (1).

123313109 is an equidigital number, since it uses as much as digits as its factorization.

123313109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 23.

The square root of 123313109 is about 11104.6435782514. The cubic root of 123313109 is about 497.7406177621.

The spelling of 123313109 in words is "one hundred twenty-three million, three hundred thirteen thousand, one hundred nine".