10001000113 has 16 divisors (see below), whose sum is σ = 11350281600. Its totient is φ = 8735696640.

The previous prime is 10001000089. The next prime is 10001000123. The reversal of 10001000113 is 31100010001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10001000113 - 2¹³ = 10000991921 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001000096 and 10001000105.

It is not an unprimeable number, because it can be changed into a prime (10001000123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194628 + ... + 240586.

It is an arithmetic number, because the mean of its divisors is an integer number (709392600).

Almost surely, 2^10001000113 is an apocalyptic number.

10001000113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10001000113 is a deficient number, since it is larger than the sum of its proper divisors (1349281487).

10001000113 is a wasteful number, since it uses less digits than its factorization.

10001000113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46872.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 10001000113 its reverse (31100010001), we get a palindrome (41101010114).

The spelling of 10001000113 in words is "ten billion, one million, one hundred thirteen", and thus it is an aban number.