10013313013 has 24 divisors (see below), whose sum is σ = 11218810680. Its totient is φ = 8929008000.

The previous prime is 10013312977. The next prime is 10013313019. The reversal of 10013313013 is 31031331001.

It can be written as a sum of positive squares in 4 ways, for example, as 7555434084 + 2457878929 = 86922^2 + 49577^2 .

It is not a de Polignac number, because 10013313013 - 2³³ = 1423378421 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013313019) 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 23 ways as a sum of consecutive naturals, for example, 1328331 + ... + 1335847.

It is an arithmetic number, because the mean of its divisors is an integer number (467450445).

Almost surely, 2^10013313013 is an apocalyptic number.

It is an amenable number.

10013313013 is a deficient number, since it is larger than the sum of its proper divisors (1205497667).

10013313013 is a wasteful number, since it uses less digits than its factorization.

10013313013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7749 (or 7738 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 10013313013 its reverse (31031331001), we get a palindrome (41044644014).

The spelling of 10013313013 in words is "ten billion, thirteen million, three hundred thirteen thousand, thirteen".