132333201000 has 1536 divisors, whose sum is σ = 618336875520. Its totient is φ = 24634368000.

The previous prime is 132333200953. The next prime is 132333201071. The reversal of 132333201000 is 102333231.

132333201000 is a `hidden beast` number, since 1 + 323 + 332 + 0 + 10 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 333332802 + ... + 333333198.

It is an arithmetic number, because the mean of its divisors is an integer number (402563070).

Almost surely, 2^132333201000 is an apocalyptic number.

132333201000 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 132333201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309168437760).

132333201000 is an abundant number, since it is smaller than the sum of its proper divisors (486003674520).

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

132333201000 is a wasteful number, since it uses less digits than its factorization.

132333201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 132333201000 its reverse (102333231), we get a palindrome (132435534231).

It can be divided in two parts, 132333 and 201000, that added together give a palindrome (333333).

The spelling of 132333201000 in words is "one hundred thirty-two billion, three hundred thirty-three million, two hundred one thousand".