10000113 has 8 divisors (see below), whose sum is σ = 13458528. Its totient is φ = 6604224.

The previous prime is 10000103. The next prime is 10000121. The reversal of 10000113 is 31100001.

10000113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 10000113 - 2⁹ = 9999601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10000103) 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, 15256 + ... + 15897.

It is an arithmetic number, because the mean of its divisors is an integer number (1682316).

Almost surely, 2^10000113 is an apocalyptic number.

It is an amenable number.

10000113 is a deficient number, since it is larger than the sum of its proper divisors (3458415).

10000113 is a wasteful number, since it uses less digits than its factorization.

10000113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31263.

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 10000113 is about 3162.2955269867. The cubic root of 10000113 is about 215.4442805039. Note that the first 3 decimals are identical.

Adding to 10000113 its reverse (31100001), we get a palindrome (41100114).

The spelling of 10000113 in words is "ten million, one hundred thirteen", and thus it is an aban number.