132333323100 has 288 divisors, whose sum is σ = 430094472192. Its totient is φ = 31132800000.

The previous prime is 132333323077. The next prime is 132333323113. The reversal of 132333323100 is 1323333231.

It is a super-2 number, since 2×132333323100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56286925 + ... + 56289275.

It is an arithmetic number, because the mean of its divisors is an integer number (1493383584).

Almost surely, 2^132333323100 is an apocalyptic number.

132333323100 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 132333323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215047236096).

132333323100 is an abundant number, since it is smaller than the sum of its proper divisors (297761149092).

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

132333323100 is a wasteful number, since it uses less digits than its factorization.

132333323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 132333323100 its reverse (1323333231), we get a palindrome (133656656331).

132333323100 divided by its reverse (1323333231) gives a square (100 = 10²).

It can be divided in two parts, 13233 and 3323100, that added together give a palindrome (3336333).

The spelling of 132333323100 in words is "one hundred thirty-two billion, three hundred thirty-three million, three hundred twenty-three thousand, one hundred".