1003340313 has 12 divisors (see below), whose sum is σ = 1462566820. Its totient is φ = 662756256.

The previous prime is 1003340279. The next prime is 1003340321. The reversal of 1003340313 is 3130433001.

1003340313 is a `hidden beast` number, since 10 + 0 + 3 + 340 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 830995929 + 172344384 = 28827^2 + 13128^2 .

It is not a de Polignac number, because 1003340313 - 2⁶ = 1003340249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1003340213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 510406 + ... + 512367.

Almost surely, 2^1003340313 is an apocalyptic number.

It is an amenable number.

1003340313 is a deficient number, since it is larger than the sum of its proper divisors (459226507).

1003340313 is a wasteful number, since it uses less digits than its factorization.

1003340313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022888 (or 1022885 counting only the distinct ones).

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

The square root of 1003340313 is about 31675.5475564354. The cubic root of 1003340313 is about 1001.1122002187.

Adding to 1003340313 its reverse (3130433001), we get a palindrome (4133773314).

The spelling of 1003340313 in words is "one billion, three million, three hundred forty thousand, three hundred thirteen".