133431221772 has 36 divisors (see below), whose sum is σ = 338529094176. Its totient is φ = 44312948640.

The previous prime is 133431221771. The next prime is 133431221813. The reversal of 133431221772 is 277122134331.

133431221772 is a `hidden beast` number, since 1 + 3 + 3 + 431 + 2 + 217 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (133431221771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6828663 + ... + 6848174.

Almost surely, 2^133431221772 is an apocalyptic number.

133431221772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133431221772 is an abundant number, since it is smaller than the sum of its proper divisors (205097872404).

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

133431221772 is a wasteful number, since it uses less digits than its factorization.

133431221772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13677118 (or 13677113 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The spelling of 133431221772 in words is "one hundred thirty-three billion, four hundred thirty-one million, two hundred twenty-one thousand, seven hundred seventy-two".