133000322023200 has 864 divisors, whose sum is σ = 458938629172800. Its totient is φ = 33415407083520.

The previous prime is 133000322023187. The next prime is 133000322023223. The reversal of 133000322023200 is 2320223000331.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 61037319711 + ... + 61037321889.

It is an arithmetic number, because the mean of its divisors is an integer number (531178968950).

Almost surely, 2^{133000322023200} is an apocalyptic number.

133000322023200 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 133000322023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229469314586400).

133000322023200 is an abundant number, since it is smaller than the sum of its proper divisors (325938307149600).

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

133000322023200 is a wasteful number, since it uses less digits than its factorization.

133000322023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 133000322023200 its reverse (2320223000331), we get a palindrome (135320545023531).

The spelling of 133000322023200 in words is "one hundred thirty-three trillion, three hundred twenty-two million, twenty-three thousand, two hundred".