123001313 has 2 divisors, whose sum is σ = 123001314. Its totient is φ = 123001312.

The previous prime is 123001301. The next prime is 123001331. The reversal of 123001313 is 313100321.

Together with next prime (123001331) 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., 116791249 + 6210064 = 10807^2 + 2492^2 .

It is a cyclic number.

It is not a de Polignac number, because 123001313 - 2⁴ = 123001297 is a prime.

It is not a weakly prime, because it can be changed into another prime (123001343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61500656 + 61500657.

It is an arithmetic number, because the mean of its divisors is an integer number (61500657).

Almost surely, 2^123001313 is an apocalyptic number.

It is an amenable number.

123001313 is a deficient number, since it is larger than the sum of its proper divisors (1).

123001313 is an equidigital number, since it uses as much as digits as its factorization.

123001313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 123001313 is about 11090.5957008630. The cubic root of 123001313 is about 497.3207529136.

Adding to 123001313 its reverse (313100321), we get a palindrome (436101634).

The spelling of 123001313 in words is "one hundred twenty-three million, one thousand, three hundred thirteen".