133321302321000 has 256 divisors, whose sum is σ = 426152395468800. Its totient is φ = 34681594112000.

The previous prime is 133321302320951. The next prime is 133321302321019. The reversal of 133321302321000 is 123203123331.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1298705674 + ... + 1298808326.

It is an arithmetic number, because the mean of its divisors is an integer number (1664657794800).

Almost surely, 2^{133321302321000} is an apocalyptic number.

133321302321000 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 133321302321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213076197734400).

133321302321000 is an abundant number, since it is smaller than the sum of its proper divisors (292831093147800).

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

133321302321000 is a wasteful number, since it uses less digits than its factorization.

133321302321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113277 (or 113263 counting only the distinct ones).

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

Adding to 133321302321000 its reverse (123203123331), we get a palindrome (133444505444331).

The spelling of 133321302321000 in words is "one hundred thirty-three trillion, three hundred twenty-one billion, three hundred two million, three hundred twenty-one thousand".