10001002113 has 24 divisors (see below), whose sum is σ = 14791420800. Its totient is φ = 6508594464.

The previous prime is 10001002103. The next prime is 10001002159. The reversal of 10001002113 is 31120010001.

It is a de Polignac number, because none of the positive numbers 2^k-10001002113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10001002095 and 10001002104.

It is not an unprimeable number, because it can be changed into a prime (10001002103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134158 + ... + 194936.

It is an arithmetic number, because the mean of its divisors is an integer number (616309200).

Almost surely, 2^10001002113 is an apocalyptic number.

It is an amenable number.

10001002113 is a deficient number, since it is larger than the sum of its proper divisors (4790418687).

10001002113 is a wasteful number, since it uses less digits than its factorization.

10001002113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61221 (or 61218 counting only the distinct ones).

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

Adding to 10001002113 its reverse (31120010001), we get a palindrome (41121012114).

The spelling of 10001002113 in words is "ten billion, one million, two thousand, one hundred thirteen".