13003004313 has 36 divisors (see below), whose sum is σ = 20788599468. Its totient is φ = 7785486720.

The previous prime is 13003004291. The next prime is 13003004323. The reversal of 13003004313 is 31340030031.

It can be written as a sum of positive squares in 6 ways, for example, as 1344835584 + 11658168729 = 36672^2 + 107973^2 .

It is not a de Polignac number, because 13003004313 - 2⁸ = 13003004057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13003004323) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 119583 + ... + 200763.

Almost surely, 2^13003004313 is an apocalyptic number.

13003004313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13003004313 is a deficient number, since it is larger than the sum of its proper divisors (7785595155).

13003004313 is a wasteful number, since it uses less digits than its factorization.

13003004313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81274 (or 81234 counting only the distinct ones).

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

Adding to 13003004313 its reverse (31340030031), we get a palindrome (44343034344).

The spelling of 13003004313 in words is "thirteen billion, three million, four thousand, three hundred thirteen".