100300113 has 10 divisors (see below), whose sum is σ = 149831154. Its totient is φ = 66866688.

The previous prime is 100300099. The next prime is 100300121. The reversal of 100300113 is 311003001.

It can be written as a sum of positive squares in only one way, i.e., 99440784 + 859329 = 9972^2 + 927^2 .

It is not a de Polignac number, because 100300113 - 2¹³ = 100291921 is a prime.

It is a super-2 number, since 2×100300113² = 20120225335625538, which contains 22 as substring.

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 = 100300095 and 100300104.

It is not an unprimeable number, because it can be changed into a prime (100300163) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 619056 + ... + 619217.

Almost surely, 2^100300113 is an apocalyptic number.

It is an amenable number.

100300113 is a deficient number, since it is larger than the sum of its proper divisors (49531041).

100300113 is an equidigital number, since it uses as much as digits as its factorization.

100300113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238285 (or 1238276 counting only the distinct ones).

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

The square root of 100300113 is about 10014.9944083859. The cubic root of 100300113 is about 464.6227533421.

Adding to 100300113 its reverse (311003001), we get a palindrome (411303114).

The spelling of 100300113 in words is "one hundred million, three hundred thousand, one hundred thirteen".