100003113 has 16 divisors (see below), whose sum is σ = 169317760. Its totient is φ = 57144528.

The previous prime is 100003091. The next prime is 100003151. The reversal of 100003113 is 311300001.

It is not a de Polignac number, because 100003113 - 2²⁶ = 32894249 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100003095 and 100003104.

It is not an unprimeable number, because it can be changed into a prime (100003153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264370 + ... + 264747.

It is an arithmetic number, because the mean of its divisors is an integer number (10582360).

Almost surely, 2^100003113 is an apocalyptic number.

It is an amenable number.

100003113 is a deficient number, since it is larger than the sum of its proper divisors (69314647).

100003113 is an equidigital number, since it uses as much as digits as its factorization.

100003113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529133 (or 529127 counting only the distinct ones).

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

The square root of 100003113 is about 10000.1556487887. The cubic root of 100003113 is about 464.1636997333.

Adding to 100003113 its reverse (311300001), we get a palindrome (411303114).

The spelling of 100003113 in words is "one hundred million, three thousand, one hundred thirteen".