133223103200 has 144 divisors (see below), whose sum is σ = 358785942480. Its totient is φ = 47900160000.

The previous prime is 133223103199. The next prime is 133223103203. The reversal of 133223103200 is 2301322331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133223103203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 698150 + ... + 868250.

It is an arithmetic number, because the mean of its divisors is an integer number (2491569045).

Almost surely, 2^133223103200 is an apocalyptic number.

133223103200 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 133223103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179392971240).

133223103200 is an abundant number, since it is smaller than the sum of its proper divisors (225562839280).

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

133223103200 is a wasteful number, since it uses less digits than its factorization.

133223103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170221 (or 170208 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 133223103200 its reverse (2301322331), we get a palindrome (135524425531).

The spelling of 133223103200 in words is "one hundred thirty-three billion, two hundred twenty-three million, one hundred three thousand, two hundred".