133221312010332 has 144 divisors (see below), whose sum is σ = 414472210326720. Its totient is φ = 35134790390784.

The previous prime is 133221312010331. The next prime is 133221312010363. The reversal of 133221312010332 is 233010213122331.

133221312010332 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 2 + 1 + 312 + 0 + 10 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 133221312010296 and 133221312010305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133221312010331) 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, 267364258 + ... + 267862070.

It is an arithmetic number, because the mean of its divisors is an integer number (2878279238380).

Almost surely, 2^{133221312010332} is an apocalyptic number.

133221312010332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133221312010332 is an abundant number, since it is smaller than the sum of its proper divisors (281250898316388).

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

133221312010332 is a wasteful number, since it uses less digits than its factorization.

133221312010332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579532 (or 579527 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 133221312010332 its reverse (233010213122331), we get a palindrome (366231525132663).

The spelling of 133221312010332 in words is "one hundred thirty-three trillion, two hundred twenty-one billion, three hundred twelve million, ten thousand, three hundred thirty-two".