10130003013 has 32 divisors (see below), whose sum is σ = 14886014976. Its totient is φ = 6088529088.

The previous prime is 10130003011. The next prime is 10130003033. The reversal of 10130003013 is 31030003101.

10130003013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10130003013 - 2¹ = 10130003011 is a prime.

It is a super-2 number, since 2×10130003013² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10130003013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10130003011) 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 31 ways as a sum of consecutive naturals, for example, 916506 + ... + 927492.

It is an arithmetic number, because the mean of its divisors is an integer number (465187968).

Almost surely, 2^10130003013 is an apocalyptic number.

10130003013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10130003013 is a deficient number, since it is larger than the sum of its proper divisors (4756011963).

10130003013 is a wasteful number, since it uses less digits than its factorization.

10130003013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11553.

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 10130003013 its reverse (31030003101), we get a palindrome (41160006114).

The spelling of 10130003013 in words is "ten billion, one hundred thirty million, three thousand, thirteen".