132333100 has 108 divisors (see below), whose sum is σ = 322435960. Its totient is φ = 47001600.

The previous prime is 132333077. The next prime is 132333109. The reversal of 132333100 is 1333231.

It is a super-2 number, since 2×132333100² = 35024098711220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132333109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 548980 + ... + 549220.

Almost surely, 2^132333100 is an apocalyptic number.

132333100 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 132333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161217980).

132333100 is an abundant number, since it is smaller than the sum of its proper divisors (190102860).

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

132333100 is a wasteful number, since it uses less digits than its factorization.

132333100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 132333100 is about 11503.6124760877. The cubic root of 132333100 is about 509.5922667061.

Adding to 132333100 its reverse (1333231), we get a palindrome (133666331).

The spelling of 132333100 in words is "one hundred thirty-two million, three hundred thirty-three thousand, one hundred".