100113003 has 20 divisors (see below), whose sum is σ = 151609128. Its totient is φ = 65823840.

The previous prime is 100113001. The next prime is 100113011. The reversal of 100113003 is 300311001.

It is not a de Polignac number, because 100113003 - 2¹ = 100113001 is a prime.

It is a super-2 number, since 2×100113003² = 20045226739356018, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (100113001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2553 + ... + 14378.

Almost surely, 2^100113003 is an apocalyptic number.

100113003 is a deficient number, since it is larger than the sum of its proper divisors (51496125).

100113003 is an equidigital number, since it uses as much as digits as its factorization.

100113003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17016 (or 17007 counting only the distinct ones).

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

The square root of 100113003 is about 10005.6485546915. The cubic root of 100113003 is about 464.3336553663. Note that the first 3 decimals are identical.

Adding to 100113003 its reverse (300311001), we get a palindrome (400424004).

The spelling of 100113003 in words is "one hundred million, one hundred thirteen thousand, three".