133321321230000 has 400 divisors, whose sum is σ = 440221549586016. Its totient is φ = 34746716160000.

The previous prime is 133321321229969. The next prime is 133321321230007. The reversal of 133321321230000 is 32123123331.

133321321230000 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is not an unprimeable number, because it can be changed into a prime (133321321230007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 287077984 + ... + 287542016.

Almost surely, 2^{133321321230000} is an apocalyptic number.

133321321230000 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 133321321230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220110774793008).

133321321230000 is an abundant number, since it is smaller than the sum of its proper divisors (306900228356016).

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

133321321230000 is a wasteful number, since it uses less digits than its factorization.

133321321230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464282 (or 464261 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 133321321230000 its reverse (32123123331), we get a palindrome (133353444353331).

The spelling of 133321321230000 in words is "one hundred thirty-three trillion, three hundred twenty-one billion, three hundred twenty-one million, two hundred thirty thousand".