132233031333000 has 1024 divisors, whose sum is σ = 502298858880000. Its totient is φ = 31985263411200.

The previous prime is 132233031332981. The next prime is 132233031333107. The reversal of 132233031333000 is 333130332231.

132233031333000 is a `hidden beast` number, since 1 + 3 + 2 + 23 + 303 + 1 + 3 + 330 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5091944016 + ... + 5091969984.

It is an arithmetic number, because the mean of its divisors is an integer number (490526229375).

Almost surely, 2^{132233031333000} is an apocalyptic number.

132233031333000 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 132233031333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251149429440000).

132233031333000 is an abundant number, since it is smaller than the sum of its proper divisors (370065827547000).

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

132233031333000 is a wasteful number, since it uses less digits than its factorization.

132233031333000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26264 (or 26244 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 132233031333000 its reverse (333130332231), we get a palindrome (132566161665231).

The spelling of 132233031333000 in words is "one hundred thirty-two trillion, two hundred thirty-three billion, thirty-one million, three hundred thirty-three thousand".