133122242221332 has 48 divisors (see below), whose sum is σ = 382299772536192. Its totient is φ = 35109162783360.

The previous prime is 133122242221289. The next prime is 133122242221333. The reversal of 133122242221332 is 233122242221331.

133122242221332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 133122242221293 and 133122242221302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133122242221333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60953406519 + ... + 60953408702.

It is an arithmetic number, because the mean of its divisors is an integer number (7964578594504).

Almost surely, 2^{133122242221332} is an apocalyptic number.

133122242221332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133122242221332 is an abundant number, since it is smaller than the sum of its proper divisors (249177530314860).

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

133122242221332 is a wasteful number, since it uses less digits than its factorization.

133122242221332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121906815248 (or 121906815246 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

Adding to 133122242221332 its reverse (233122242221331), we get a palindrome (366244484442663).

Subtracting 133122242221332 from its reverse (233122242221331), we obtain a palindrome (99999999999999).

The spelling of 133122242221332 in words is "one hundred thirty-three trillion, one hundred twenty-two billion, two hundred forty-two million, two hundred twenty-one thousand, three hundred thirty-two".