133100020221200 has 60 divisors (see below), whose sum is σ = 319773910445940. Its totient is φ = 53239822970880.

The previous prime is 133100020221199. The next prime is 133100020221209. The reversal of 133100020221200 is 2122020001331.

It can be written as a sum of positive squares in 6 ways, for example, as 957086542864 + 132142933678336 = 978308^2 + 11495344^2 .

It is not an unprimeable number, because it can be changed into a prime (133100020221209) 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, 213631736 + ... + 214253864.

It is an arithmetic number, because the mean of its divisors is an integer number (5329565174099).

Almost surely, 2^{133100020221200} is an apocalyptic number.

133100020221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133100020221200 is an abundant number, since it is smaller than the sum of its proper divisors (186673890224740).

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

133100020221200 is a wasteful number, since it uses less digits than its factorization.

133100020221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157004 (or 1156993 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 133100020221200 its reverse (2122020001331), we get a palindrome (135222040222531).

The spelling of 133100020221200 in words is "one hundred thirty-three trillion, one hundred billion, twenty million, two hundred twenty-one thousand, two hundred".