233133303331332 has 108 divisors (see below), whose sum is σ = 605734240615140. Its totient is φ = 75602397572352.

The previous prime is 233133303331301. The next prime is 233133303331387.

It is a happy number.

233133303331332 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 3 + 3 + 303 + 3 + 313 + 32 = 666.

233133303331332 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 68160446212356 + 164972857118976 = 8255934^2 + 12844176^2 .

It is a super-2 number, since 2×233133303331332² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 451035294 + ... + 451551882.

Almost surely, 2^{233133303331332} 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 233133303331332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302867120307570).

233133303331332 is an abundant number, since it is smaller than the sum of its proper divisors (372600937283808).

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

233133303331332 is a wasteful number, since it uses less digits than its factorization.

233133303331332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525830 (or 525788 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 36.

It can be divided in two parts, 23313330 and 3331332, that added together give a palindrome (26644662).

The spelling of 233133303331332 in words is "two hundred thirty-three trillion, one hundred thirty-three billion, three hundred three million, three hundred thirty-one thousand, three hundred thirty-two".