233133312312 has 48 divisors (see below), whose sum is σ = 632557128840. Its totient is φ = 77569023168.

The previous prime is 233133312277. The next prime is 233133312337. The reversal of 233133312312 is 213213331332.

233133312312 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 33 + 312 + 312 = 666.

It is a super-2 number, since 2×233133312312² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2920363 + ... + 2999130.

Almost surely, 2^233133312312 is an apocalyptic number.

It is an amenable number.

233133312312 is an abundant number, since it is smaller than the sum of its proper divisors (399423816528).

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

233133312312 is a wasteful number, since it uses less digits than its factorization.

233133312312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5920052 (or 5920045 counting only the distinct ones).

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

Adding to 233133312312 its reverse (213213331332), we get a palindrome (446346643644).

The spelling of 233133312312 in words is "two hundred thirty-three billion, one hundred thirty-three million, three hundred twelve thousand, three hundred twelve".