100311000300 has 216 divisors, whose sum is σ = 359569173600. Its totient is φ = 22913372160.

The previous prime is 100311000281. The next prime is 100311000301. The reversal of 100311000300 is 3000113001.

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 (100311000301) 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 71 ways as a sum of consecutive naturals, for example, 11896486 + ... + 11904914.

It is an arithmetic number, because the mean of its divisors is an integer number (1664672100).

Almost surely, 2^100311000300 is an apocalyptic number.

100311000300 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 100311000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179784586800).

100311000300 is an abundant number, since it is smaller than the sum of its proper divisors (259258173300).

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

100311000300 is a wasteful number, since it uses less digits than its factorization.

100311000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10345 (or 10335 counting only the distinct ones).

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

Adding to 100311000300 its reverse (3000113001), we get a palindrome (103311113301).

It can be divided in two parts, 10031 and 1000300, that added together give a triangular number (1010331 = T₁₄₂₁).

The spelling of 100311000300 in words is "one hundred billion, three hundred eleven million, three hundred", and thus it is an aban number.