133000221120020 has 144 divisors (see below), whose sum is σ = 301388511206160. Its totient is φ = 49224409049088.

The previous prime is 133000221119963. The next prime is 133000221120023. The reversal of 133000221120020 is 20021122000331.

It can be written as a sum of positive squares in 8 ways, for example, as 381919056016 + 132618302064004 = 617996^2 + 11516002^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133000221120023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55668272 + ... + 58008248.

It is an arithmetic number, because the mean of its divisors is an integer number (2092975772265).

Almost surely, 2^{133000221120020} is an apocalyptic number.

133000221120020 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 133000221120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150694255603080).

133000221120020 is an abundant number, since it is smaller than the sum of its proper divisors (168388290086140).

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

133000221120020 is a wasteful number, since it uses less digits than its factorization.

133000221120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340154 (or 2340109 counting only the distinct ones).

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

Adding to 133000221120020 its reverse (20021122000331), we get a palindrome (153021343120351).

The spelling of 133000221120020 in words is "one hundred thirty-three trillion, two hundred twenty-one million, one hundred twenty thousand, twenty".