133133313233312 has 96 divisors (see below), whose sum is σ = 301066756300800. Its totient is φ = 56768241657600.

The previous prime is 133133313233311. The next prime is 133133313233329. The reversal of 133133313233312 is 213332313331331.

It is not an unprimeable number, because it can be changed into a prime (133133313233311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1800253937 + ... + 1800327887.

It is an arithmetic number, because the mean of its divisors is an integer number (3136112044800).

Almost surely, 2^{133133313233312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133133313233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150533378150400).

133133313233312 is an abundant number, since it is smaller than the sum of its proper divisors (167933443067488).

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

133133313233312 is a wasteful number, since it uses less digits than its factorization.

133133313233312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114554 (or 114546 counting only the distinct ones).

The product of its digits is 78732, while the sum is 35.

Adding to 133133313233312 its reverse (213332313331331), we get a palindrome (346465626564643).

The spelling of 133133313233312 in words is "one hundred thirty-three trillion, one hundred thirty-three billion, three hundred thirteen million, two hundred thirty-three thousand, three hundred twelve".