233315130320 has 80 divisors (see below), whose sum is σ = 554659023360. Its totient is φ = 91249846272.

The previous prime is 233315130313. The next prime is 233315130329. The reversal of 233315130320 is 23031513332.

233315130320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 233315130320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233315130329) by changing a digit.

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, 471752 + ... + 830168.

It is an arithmetic number, because the mean of its divisors is an integer number (6933237792).

Almost surely, 2^233315130320 is an apocalyptic number.

233315130320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233315130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277329511680).

233315130320 is an abundant number, since it is smaller than the sum of its proper divisors (321343893040).

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

233315130320 is a wasteful number, since it uses less digits than its factorization.

233315130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358612 (or 358606 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 26.

Adding to 233315130320 its reverse (23031513332), we get a palindrome (256346643652).

The spelling of 233315130320 in words is "two hundred thirty-three billion, three hundred fifteen million, one hundred thirty thousand, three hundred twenty".