10001012013 has 6 divisors (see below), whose sum is σ = 14445906254. Its totient is φ = 6667341336.

The previous prime is 10001012011. The next prime is 10001012027. The reversal of 10001012013 is 31021010001.

It can be written as a sum of positive squares in only one way, i.e., 8716649769 + 1284362244 = 93363^2 + 35838^2 .

It is not a de Polignac number, because 10001012013 - 2¹ = 10001012011 is a prime.

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: 1111223557 = 10001012013 / (1 + 0 + 0 + 0 + 1 + 0 + 1 + 2 + 0 + 1 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001011986 and 10001012004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001012011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 555611770 + ... + 555611787.

Almost surely, 2^10001012013 is an apocalyptic number.

It is an amenable number.

10001012013 is a deficient number, since it is larger than the sum of its proper divisors (4444894241).

10001012013 is a wasteful number, since it uses less digits than its factorization.

10001012013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111223563 (or 1111223560 counting only the distinct ones).

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

Adding to 10001012013 its reverse (31021010001), we get a palindrome (41022022014).

The spelling of 10001012013 in words is "ten billion, one million, twelve thousand, thirteen".