10013002113 has 16 divisors (see below), whose sum is σ = 13507632576. Its totient is φ = 6597151680.

The previous prime is 10013002093. The next prime is 10013002151. The reversal of 10013002113 is 31120031001.

10013002113 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10013002113 - 2²⁴ = 9996224897 is a prime.

It is a super-2 number, since 2×10013002113² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10013002213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98095 + ... + 172187.

It is an arithmetic number, because the mean of its divisors is an integer number (844227036).

Almost surely, 2^10013002113 is an apocalyptic number.

It is an amenable number.

10013002113 is a deficient number, since it is larger than the sum of its proper divisors (3494630463).

10013002113 is a wasteful number, since it uses less digits than its factorization.

10013002113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74624.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10013002113 its reverse (31120031001), we get a palindrome (41133033114).

The spelling of 10013002113 in words is "ten billion, thirteen million, two thousand, one hundred thirteen".