100001013330020 has 96 divisors (see below), whose sum is σ = 230999590668672. Its totient is φ = 36361953936000.

The previous prime is 100001013330019. The next prime is 100001013330079. The reversal of 100001013330020 is 20033310100001.

It is a junction number, because it is equal to n+sod(n) for n = 100001013329977 and 100001013330004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 519819050 + ... + 520011390.

It is an arithmetic number, because the mean of its divisors is an integer number (2406245736132).

Almost surely, 2^{100001013330020} is an apocalyptic number.

100001013330020 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 100001013330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115499795334336).

100001013330020 is an abundant number, since it is smaller than the sum of its proper divisors (130998577338652).

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

100001013330020 is a wasteful number, since it uses less digits than its factorization.

100001013330020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211914 (or 211890 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 100001013330020 its reverse (20033310100001), we get a palindrome (120034323430021).

The spelling of 100001013330020 in words is "one hundred trillion, one billion, thirteen million, three hundred thirty thousand, twenty".