133000223023200 has 576 divisors, whose sum is σ = 479056408427520. Its totient is φ = 31843283189760.

The previous prime is 133000223023193. The next prime is 133000223023211. The reversal of 133000223023200 is 2320322000331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 320435004 + ... + 320849796.

It is an arithmetic number, because the mean of its divisors is an integer number (831695153520).

Almost surely, 2^{133000223023200} is an apocalyptic number.

133000223023200 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 133000223023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239528204213760).

133000223023200 is an abundant number, since it is smaller than the sum of its proper divisors (346056185404320).

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

133000223023200 is a wasteful number, since it uses less digits than its factorization.

133000223023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415111 (or 415098 counting only the distinct ones).

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

Adding to 133000223023200 its reverse (2320322000331), we get a palindrome (135320545023531).

The spelling of 133000223023200 in words is "one hundred thirty-three trillion, two hundred twenty-three million, twenty-three thousand, two hundred".