3003113 has 2 divisors, whose sum is σ = 3003114. Its totient is φ = 3003112.

The previous prime is 3003079. The next prime is 3003131. The reversal of 3003113 is 3113003.

Together with next prime (3003131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2917264 + 85849 = 1708^2 + 293^2 .

It is a cyclic number.

It is not a de Polignac number, because 3003113 - 2¹⁰ = 3002089 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 3003094 and 3003103.

It is not a weakly prime, because it can be changed into another prime (3003173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1501556 + 1501557.

It is an arithmetic number, because the mean of its divisors is an integer number (1501557).

Almost surely, 2^3003113 is an apocalyptic number.

It is an amenable number.

3003113 is a deficient number, since it is larger than the sum of its proper divisors (1).

3003113 is an equidigital number, since it uses as much as digits as its factorization.

3003113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 3003113 is about 1732.9492202601. The cubic root of 3003113 is about 144.2748255959.

Adding to 3003113 its reverse (3113003), we get a palindrome (6116116).

The spelling of 3003113 in words is "three million, three thousand, one hundred thirteen".