100331332020 has 144 divisors (see below), whose sum is σ = 334175744448. Its totient is φ = 25181176320.

The previous prime is 100331331983. The next prime is 100331332027. The reversal of 100331332020 is 20233133001.

100331332020 is a `hidden beast` number, since 1 + 0 + 0 + 331 + 332 + 0 + 2 + 0 = 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 = 100331331984 and 100331332002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100331332027) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 524566 + ... + 689805.

It is an arithmetic number, because the mean of its divisors is an integer number (2320664892).

Almost surely, 2^100331332020 is an apocalyptic number.

100331332020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100331332020 is an abundant number, since it is smaller than the sum of its proper divisors (233844412428).

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

100331332020 is a wasteful number, since it uses less digits than its factorization.

100331332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214412 (or 1214398 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 100331332020 its reverse (20233133001), we get a palindrome (120564465021).

The spelling of 100331332020 in words is "one hundred billion, three hundred thirty-one million, three hundred thirty-two thousand, twenty".