133122213321000 has 256 divisors, whose sum is σ = 435715037222400. Its totient is φ = 33792394496000.

The previous prime is 133122213320981. The next prime is 133122213321001. The reversal of 133122213321000 is 123312221331.

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 (133122213321001) by changing a digit.

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, 4598637 + ... + 16952636.

It is an arithmetic number, because the mean of its divisors is an integer number (1702011864150).

Almost surely, 2^{133122213321000} is an apocalyptic number.

133122213321000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133122213321000 is an abundant number, since it is smaller than the sum of its proper divisors (302592823901400).

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

133122213321000 is a wasteful number, since it uses less digits than its factorization.

133122213321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21551397 (or 21551383 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 133122213321000 its reverse (123312221331), we get a palindrome (133245525542331).

The spelling of 133122213321000 in words is "one hundred thirty-three trillion, one hundred twenty-two billion, two hundred thirteen million, three hundred twenty-one thousand".