1004303313 has 32 divisors (see below), whose sum is σ = 1639594880. Its totient is φ = 603650880.

The previous prime is 1004303291. The next prime is 1004303317. The reversal of 1004303313 is 3133034001.

It is not a de Polignac number, because 1004303313 - 2⁸ = 1004303057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1004303317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18178 + ... + 48363.

It is an arithmetic number, because the mean of its divisors is an integer number (51237340).

Almost surely, 2^1004303313 is an apocalyptic number.

1004303313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1004303313 is a deficient number, since it is larger than the sum of its proper divisors (635291567).

1004303313 is a wasteful number, since it uses less digits than its factorization.

1004303313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66606 (or 66600 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1004303313 is about 31690.7449107780. The cubic root of 1004303313 is about 1001.4323849604.

Adding to 1004303313 its reverse (3133034001), we get a palindrome (4137337314).

The spelling of 1004303313 in words is "one billion, four million, three hundred three thousand, three hundred thirteen".