100132322311032 has 128 divisors (see below), whose sum is σ = 274519008023040. Its totient is φ = 30184194055680.

The previous prime is 100132322311009. The next prime is 100132322311057. The reversal of 100132322311032 is 230113223231001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 100132322310993 and 100132322311011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326300853 + ... + 326607579.

It is an arithmetic number, because the mean of its divisors is an integer number (2144679750180).

Almost surely, 2^{100132322311032} is an apocalyptic number.

100132322311032 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 100132322311032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137259504011520).

100132322311032 is an abundant number, since it is smaller than the sum of its proper divisors (174386685712008).

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

100132322311032 is a wasteful number, since it uses less digits than its factorization.

100132322311032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313221 (or 313217 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 100132322311032 its reverse (230113223231001), we get a palindrome (330245545542033).

The spelling of 100132322311032 in words is "one hundred trillion, one hundred thirty-two billion, three hundred twenty-two million, three hundred eleven thousand, thirty-two".