1003000313 has 8 divisors (see below), whose sum is σ = 1146936960. Its totient is φ = 859226400.

The previous prime is 1003000277. The next prime is 1003000331. The reversal of 1003000313 is 3130003001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1003000313 - 2¹² = 1002996217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1003000294 and 1003000303.

It is not an unprimeable number, because it can be changed into a prime (1003000333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27173 + ... + 52386.

It is an arithmetic number, because the mean of its divisors is an integer number (143367120).

Almost surely, 2^1003000313 is an apocalyptic number.

It is an amenable number.

1003000313 is a deficient number, since it is larger than the sum of its proper divisors (143936647).

1003000313 is an equidigital number, since it uses as much as digits as its factorization.

1003000313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81367.

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

The square root of 1003000313 is about 31670.1801857836. The cubic root of 1003000313 is about 1000.9991057885. Note that the first 3 decimals are identical.

Adding to 1003000313 its reverse (3130003001), we get a palindrome (4133003314).

The spelling of 1003000313 in words is "one billion, three million, three hundred thirteen", and thus it is an aban number.