13123333313 has 2 divisors, whose sum is σ = 13123333314. Its totient is φ = 13123333312.

The previous prime is 13123333283. The next prime is 13123333319. The reversal of 13123333313 is 31333332131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7370565904 + 5752767409 = 85852^2 + 75847^2 .

It is a cyclic number.

It is not a de Polignac number, because 13123333313 - 2⁸ = 13123333057 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13123333319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561666656 + 6561666657.

It is an arithmetic number, because the mean of its divisors is an integer number (6561666657).

Almost surely, 2^13123333313 is an apocalyptic number.

It is an amenable number.

13123333313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123333313 is an equidigital number, since it uses as much as digits as its factorization.

13123333313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4374, while the sum is 26.

Adding to 13123333313 its reverse (31333332131), we get a palindrome (44456665444).

The spelling of 13123333313 in words is "thirteen billion, one hundred twenty-three million, three hundred thirty-three thousand, three hundred thirteen".