3003123313 has 2 divisors, whose sum is σ = 3003123314. Its totient is φ = 3003123312.

The previous prime is 3003123307. The next prime is 3003123323. The reversal of 3003123313 is 3133213003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2995153984 + 7969329 = 54728^2 + 2823^2 .

It is an emirp because it is prime and its reverse (3133213003) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3003123313 is a prime.

It is not a weakly prime, because it can be changed into another prime (3003123323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1501561656 + 1501561657.

It is an arithmetic number, because the mean of its divisors is an integer number (1501561657).

Almost surely, 2^3003123313 is an apocalyptic number.

It is an amenable number.

3003123313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3003123313 is an equidigital number, since it uses as much as digits as its factorization.

3003123313 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 19.

The square root of 3003123313 is about 54800.7601498373. The cubic root of 3003123313 is about 1442.7499074723.

Adding to 3003123313 its reverse (3133213003), we get a palindrome (6136336316).

The spelling of 3003123313 in words is "three billion, three million, one hundred twenty-three thousand, three hundred thirteen".