10011000113 has 8 divisors (see below), whose sum is σ = 10112184936. Its totient is φ = 9909856000.

The previous prime is 10011000107. The next prime is 10011000119. The reversal of 10011000113 is 31100011001.

It is an interprime number because it is at equal distance from previous prime (10011000107) and next prime (10011000119).

It can be written as a sum of positive squares in 4 ways, for example, as 8141994289 + 1869005824 = 90233^2 + 43232^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10011000113 - 2⁶ = 10011000049 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10011000113.

It is not an unprimeable number, because it can be changed into a prime (10011000119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 829583 + ... + 841563.

It is an arithmetic number, because the mean of its divisors is an integer number (1264023117).

Almost surely, 2^10011000113 is an apocalyptic number.

It is an amenable number.

10011000113 is a deficient number, since it is larger than the sum of its proper divisors (101184823).

10011000113 is a wasteful number, since it uses less digits than its factorization.

10011000113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20355.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 10011000113 its reverse (31100011001), we get a palindrome (41111011114).

The spelling of 10011000113 in words is "ten billion, eleven million, one hundred thirteen", and thus it is an aban number.