100233131220 has 72 divisors (see below), whose sum is σ = 304445756160. Its totient is φ = 26693208000.

The previous prime is 100233131209. The next prime is 100233131249. The reversal of 100233131220 is 22131332001.

100233131220 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 331 + 312 + 20 = 666.

100233131220 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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 = 100233131193 and 100233131202.

It is a congruent number.

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, 235560 + ... + 505919.

It is an arithmetic number, because the mean of its divisors is an integer number (4228413280).

Almost surely, 2^100233131220 is an apocalyptic number.

100233131220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100233131220 is an abundant number, since it is smaller than the sum of its proper divisors (204212624940).

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

100233131220 is a wasteful number, since it uses less digits than its factorization.

100233131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742245 (or 742240 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100233131220 its reverse (22131332001), we get a palindrome (122364463221).

The spelling of 100233131220 in words is "one hundred billion, two hundred thirty-three million, one hundred thirty-one thousand, two hundred twenty".