133223311312 has 120 divisors (see below), whose sum is σ = 325232761896. Its totient is φ = 52398388224.

The previous prime is 133223311279. The next prime is 133223311373. The reversal of 133223311312 is 213113322331.

It can be written as a sum of positive squares in 4 ways, for example, as 50339204496 + 82884106816 = 224364^2 + 287896^2 .

It is a super-2 number, since 2×133223311312² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1725438 + ... + 1800994.

Almost surely, 2^133223311312 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 133223311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162616380948).

133223311312 is an abundant number, since it is smaller than the sum of its proper divisors (192009450584).

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

133223311312 is a wasteful number, since it uses less digits than its factorization.

133223311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75765 (or 75752 counting only the distinct ones).

The product of its digits is 1944, while the sum is 25.

Adding to 133223311312 its reverse (213113322331), we get a palindrome (346336633643).

The spelling of 133223311312 in words is "one hundred thirty-three billion, two hundred twenty-three million, three hundred eleven thousand, three hundred twelve".