100013000300 has 72 divisors (see below), whose sum is σ = 221609264016. Its totient is φ = 39168783360.

The previous prime is 100013000239. The next prime is 100013000317. The reversal of 100013000300 is 3000310001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 950099 + ... + 1050101.

Almost surely, 2^100013000300 is an apocalyptic number.

100013000300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100013000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110804632008).

100013000300 is an abundant number, since it is smaller than the sum of its proper divisors (121596263716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100013000300 is a wasteful number, since it uses less digits than its factorization.

100013000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100227 (or 100220 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

Adding to 100013000300 its reverse (3000310001), we get a palindrome (103013310301).

The spelling of 100013000300 in words is "one hundred billion, thirteen million, three hundred", and thus it is an aban number.