133322003232000 has 576 divisors, whose sum is σ = 483205214838528. Its totient is φ = 32312524800000.

The previous prime is 133322003231957. The next prime is 133322003232023. The reversal of 133322003232000 is 232300223331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5069842852 + ... + 5069869148.

It is an arithmetic number, because the mean of its divisors is an integer number (838897942428).

Almost surely, 2^{133322003232000} is an apocalyptic number.

133322003232000 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 133322003232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241602607419264).

133322003232000 is an abundant number, since it is smaller than the sum of its proper divisors (349883211606528).

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

133322003232000 is a wasteful number, since it uses less digits than its factorization.

133322003232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31143 (or 31119 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 133322003232000 its reverse (232300223331), we get a palindrome (133554303455331).

The spelling of 133322003232000 in words is "one hundred thirty-three trillion, three hundred twenty-two billion, three million, two hundred thirty-two thousand".