100013310020 has 96 divisors (see below), whose sum is σ = 228483666432. Its totient is φ = 36553402368.

The previous prime is 100013310013. The next prime is 100013310053. The reversal of 100013310020 is 20013310001.

It is a junction number, because it is equal to n+sod(n) for n = 100013309983 and 100013310010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28878809 + ... + 28882271.

It is an arithmetic number, because the mean of its divisors is an integer number (2380038192).

Almost surely, 2^100013310020 is an apocalyptic number.

100013310020 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 100013310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114241833216).

100013310020 is an abundant number, since it is smaller than the sum of its proper divisors (128470356412).

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

100013310020 is a wasteful number, since it uses less digits than its factorization.

100013310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4581 (or 4579 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 100013310020 its reverse (20013310001), we get a palindrome (120026620021).

The spelling of 100013310020 in words is "one hundred billion, thirteen million, three hundred ten thousand, twenty".