100331330033232 has 140 divisors (see below), whose sum is σ = 292663963482484. Its totient is φ = 33305004887040.

The previous prime is 100331330033141. The next prime is 100331330033243. The reversal of 100331330033232 is 232330033133001.

100331330033232 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 3 + 1 + 330 + 0 + 3 + 323 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 80698313434176 + 19633016599056 = 8983224^2 + 4430916^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 100331330033196 and 100331330033205.

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 27 ways as a sum of consecutive naturals, for example, 15035023 + ... + 20657070.

Almost surely, 2^{100331330033232} is an apocalyptic number.

100331330033232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100331330033232 is an abundant number, since it is smaller than the sum of its proper divisors (192332633449252).

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

100331330033232 is an equidigital number, since it uses as much as digits as its factorization.

100331330033232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35692360 (or 35692339 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 100331330033232 its reverse (232330033133001), we get a palindrome (332661363166233).

The spelling of 100331330033232 in words is "one hundred trillion, three hundred thirty-one billion, three hundred thirty million, thirty-three thousand, two hundred thirty-two".