10011002013 has 6 divisors (see below), whose sum is σ = 14460336254. Its totient is φ = 6674001336.

The previous prime is 10011002009. The next prime is 10011002039. The reversal of 10011002013 is 31020011001.

10011002013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7526777049 + 2484224964 = 86757^2 + 49842^2 .

It is not a de Polignac number, because 10011002013 - 2² = 10011002009 is a prime.

It is a super-2 number, since 2×10011002013² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1112333557 = 10011002013 / (1 + 0 + 0 + 1 + 1 + 0 + 0 + 2 + 0 + 1 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10011001986 and 10011002004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011002063) 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 5 ways as a sum of consecutive naturals, for example, 556166770 + ... + 556166787.

Almost surely, 2^10011002013 is an apocalyptic number.

It is an amenable number.

10011002013 is a deficient number, since it is larger than the sum of its proper divisors (4449334241).

10011002013 is a wasteful number, since it uses less digits than its factorization.

10011002013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112333563 (or 1112333560 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10011002013 its reverse (31020011001), we get a palindrome (41031013014).

The spelling of 10011002013 in words is "ten billion, eleven million, two thousand, thirteen".