233130411312 has 80 divisors (see below), whose sum is σ = 634276368000. Its totient is φ = 73582359552.

The previous prime is 233130411301. The next prime is 233130411361. The reversal of 233130411312 is 213114031332.

233130411312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×233130411312² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 1740264 + ... + 1869432.

It is an arithmetic number, because the mean of its divisors is an integer number (7928454600).

Almost surely, 2^233130411312 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 233130411312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317138184000).

233130411312 is an abundant number, since it is smaller than the sum of its proper divisors (401145956688).

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

233130411312 is a wasteful number, since it uses less digits than its factorization.

233130411312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131178 (or 131172 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 233130411312 its reverse (213114031332), we get a palindrome (446244442644).

The spelling of 233130411312 in words is "two hundred thirty-three billion, one hundred thirty million, four hundred eleven thousand, three hundred twelve".