123133313 has 2 divisors, whose sum is σ = 123133314. Its totient is φ = 123133312.

The previous prime is 123133303. The next prime is 123133331. The reversal of 123133313 is 313331321.

Together with next prime (123133331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67436944 + 55696369 = 8212^2 + 7463^2 .

It is an emirp because it is prime and its reverse (313331321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123133313 - 2⁶ = 123133249 is a prime.

It is not a weakly prime, because it can be changed into another prime (123133303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61566656 + 61566657.

It is an arithmetic number, because the mean of its divisors is an integer number (61566657).

Almost surely, 2^123133313 is an apocalyptic number.

It is an amenable number.

123133313 is a deficient number, since it is larger than the sum of its proper divisors (1).

123133313 is an equidigital number, since it uses as much as digits as its factorization.

123133313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 486, while the sum is 20.

The square root of 123133313 is about 11096.5450929557. The cubic root of 123133313 is about 497.4985907723.

Adding to 123133313 its reverse (313331321), we get a palindrome (436464634).

The spelling of 123133313 in words is "one hundred twenty-three million, one hundred thirty-three thousand, three hundred thirteen".