1003002113 has 2 divisors, whose sum is σ = 1003002114. Its totient is φ = 1003002112.

The previous prime is 1003002079. The next prime is 1003002151. The reversal of 1003002113 is 3112003001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 997106929 + 5895184 = 31577^2 + 2428^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003002113 - 2²² = 998807809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1003002094 and 1003002103.

It is not a weakly prime, because it can be changed into another prime (1003002163) 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, 501501056 + 501501057.

It is an arithmetic number, because the mean of its divisors is an integer number (501501057).

Almost surely, 2^1003002113 is an apocalyptic number.

It is an amenable number.

1003002113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003002113 is an equidigital number, since it uses as much as digits as its factorization.

1003002113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1003002113 is about 31670.2086036704. The cubic root of 1003002113 is about 1000.9997045910. Note that the first 3 decimals are identical.

Adding to 1003002113 its reverse (3112003001), we get a palindrome (4115005114).

The spelling of 1003002113 in words is "one billion, three million, two thousand, one hundred thirteen".