133332321312 has 72 divisors (see below), whose sum is σ = 379232655984. Its totient is φ = 44436034944.

The previous prime is 133332321289. The next prime is 133332321341. The reversal of 133332321312 is 213123233331.

133332321312 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 323 + 21 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1666743 + ... + 1744905.

It is an arithmetic number, because the mean of its divisors is an integer number (5267120222).

Almost surely, 2^133332321312 is an apocalyptic number.

133332321312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133332321312 is an abundant number, since it is smaller than the sum of its proper divisors (245900334672).

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

133332321312 is a wasteful number, since it uses less digits than its factorization.

133332321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84102 (or 84091 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 133332321312 its reverse (213123233331), we get a palindrome (346455554643).

The spelling of 133332321312 in words is "one hundred thirty-three billion, three hundred thirty-two million, three hundred twenty-one thousand, three hundred twelve".