133312320221200 has 60 divisors (see below), whose sum is σ = 320320374562260. Its totient is φ = 53318680391680.

The previous prime is 133312320221173. The next prime is 133312320221203. The reversal of 133312320221200 is 2122023213331.

It can be written as a sum of positive squares in 6 ways, for example, as 14044865531904 + 119267454689296 = 3747648^2 + 10920964^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (133312320221203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16104985 + ... + 22934584.

It is an arithmetic number, because the mean of its divisors is an integer number (5338672909371).

Almost surely, 2^{133312320221200} is an apocalyptic number.

133312320221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133312320221200 is an abundant number, since it is smaller than the sum of its proper divisors (187008054341060).

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

133312320221200 is a wasteful number, since it uses less digits than its factorization.

133312320221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39048124 (or 39048113 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 133312320221200 its reverse (2122023213331), we get a palindrome (135434343434531).

The spelling of 133312320221200 in words is "one hundred thirty-three trillion, three hundred twelve billion, three hundred twenty million, two hundred twenty-one thousand, two hundred".