100132331232 has 96 divisors (see below), whose sum is σ = 272011128480. Its totient is φ = 32214640640.

The previous prime is 100132331219. The next prime is 100132331239. The reversal of 100132331232 is 232133231001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 100132331199 and 100132331208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100132331239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10632958 + ... + 10642370.

It is an arithmetic number, because the mean of its divisors is an integer number (2833449255).

Almost surely, 2^100132331232 is an apocalyptic number.

100132331232 is a gapful number since it is divisible by the number (12) 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 100132331232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136005564240).

100132331232 is an abundant number, since it is smaller than the sum of its proper divisors (171878797248).

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

100132331232 is a wasteful number, since it uses less digits than its factorization.

100132331232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13276 (or 13268 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 100132331232 its reverse (232133231001), we get a palindrome (332265562233).

The spelling of 100132331232 in words is "one hundred billion, one hundred thirty-two million, three hundred thirty-one thousand, two hundred thirty-two".