1003413113 has 2 divisors, whose sum is σ = 1003413114. Its totient is φ = 1003413112.

The previous prime is 1003413107. The next prime is 1003413121. The reversal of 1003413113 is 3113143001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 784728169 + 218684944 = 28013^2 + 14788^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003413113 - 2¹⁸ = 1003150969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1003413091 and 1003413100.

It is not a weakly prime, because it can be changed into another prime (1003413613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501706556 + 501706557.

It is an arithmetic number, because the mean of its divisors is an integer number (501706557).

Almost surely, 2^1003413113 is an apocalyptic number.

It is an amenable number.

1003413113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003413113 is an equidigital number, since it uses as much as digits as its factorization.

1003413113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1003413113 is about 31676.6966869969. The cubic root of 1003413113 is about 1001.1364124110.

Adding to 1003413113 its reverse (3113143001), we get a palindrome (4116556114).

The spelling of 1003413113 in words is "one billion, three million, four hundred thirteen thousand, one hundred thirteen".