132333320100 has 144 divisors (see below), whose sum is σ = 385537824000. Its totient is φ = 35045176320.

The previous prime is 132333320083. The next prime is 132333320101. The reversal of 132333320100 is 1023333231.

It is not an unprimeable number, because it can be changed into a prime (132333320101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28462576 + ... + 28467224.

It is an arithmetic number, because the mean of its divisors is an integer number (2677346000).

Almost surely, 2^132333320100 is an apocalyptic number.

132333320100 is a gapful number since it is divisible by the number (10) 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 132333320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192768912000).

132333320100 is an abundant number, since it is smaller than the sum of its proper divisors (253204503900).

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

132333320100 is a wasteful number, since it uses less digits than its factorization.

132333320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5302 (or 5295 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 132333320100 its reverse (1023333231), we get a palindrome (133356653331).

It can be divided in two parts, 13233 and 3320100, that added together give a palindrome (3333333).

The spelling of 132333320100 in words is "one hundred thirty-two billion, three hundred thirty-three million, three hundred twenty thousand, one hundred".