1003013113 has 2 divisors, whose sum is σ = 1003013114. Its totient is φ = 1003013112.

The previous prime is 1003013101. The next prime is 1003013119. The reversal of 1003013113 is 3113103001.

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., 543682489 + 459330624 = 23317^2 + 21432^2 .

It is an emirp because it is prime and its reverse (3113103001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1003013113 - 2⁹ = 1003012601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1003013093 and 1003013102.

It is not a weakly prime, because it can be changed into another prime (1003013119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501506556 + 501506557.

It is an arithmetic number, because the mean of its divisors is an integer number (501506557).

Almost surely, 2^1003013113 is an apocalyptic number.

It is an amenable number.

1003013113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003013113 is an equidigital number, since it uses as much as digits as its factorization.

1003013113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 1003013113 is about 31670.3822679803. The cubic root of 1003013113 is about 1001.0033639241.

Adding to 1003013113 its reverse (3113103001), we get a palindrome (4116116114).

The spelling of 1003013113 in words is "one billion, three million, thirteen thousand, one hundred thirteen".