1003130313 has 8 divisors (see below), whose sum is σ = 1370129376. Its totient is φ = 652442400.

The previous prime is 1003130279. The next prime is 1003130363. The reversal of 1003130313 is 3130313001.

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

It is not a de Polignac number, because 1003130313 - 2²⁵ = 969575881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1003130292 and 1003130301.

It is not an unprimeable number, because it can be changed into a prime (1003130363) 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, 4077643 + ... + 4077888.

It is an arithmetic number, because the mean of its divisors is an integer number (171266172).

Almost surely, 2^1003130313 is an apocalyptic number.

It is an amenable number.

1003130313 is a deficient number, since it is larger than the sum of its proper divisors (366999063).

1003130313 is an equidigital number, since it uses as much as digits as its factorization.

1003130313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8155575.

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 1003130313 is about 31672.2325231424. The cubic root of 1003130313 is about 1001.0423507940.

Adding to 1003130313 its reverse (3130313001), we get a palindrome (4133443314).

The spelling of 1003130313 in words is "one billion, three million, one hundred thirty thousand, three hundred thirteen".