100113331120020 has 72 divisors (see below), whose sum is σ = 304021020060576. Its totient is φ = 26666653954752.

The previous prime is 100113331120003. The next prime is 100113331120031. The reversal of 100113331120020 is 20021133311001.

100113331120020 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 133 + 311 + 200 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100113331119975 and 100113331120002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314781702 + ... + 315099581.

It is an arithmetic number, because the mean of its divisors is an integer number (4222514167508).

Almost surely, 2^{100113331120020} is an apocalyptic number.

100113331120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100113331120020 is an abundant number, since it is smaller than the sum of its proper divisors (203907688940556).

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

100113331120020 is a wasteful number, since it uses less digits than its factorization.

100113331120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629882181 (or 629882176 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100113331120020 its reverse (20021133311001), we get a palindrome (120134464431021).

The spelling of 100113331120020 in words is "one hundred trillion, one hundred thirteen billion, three hundred thirty-one million, one hundred twenty thousand, twenty".