320313330130200 has 1536 divisors, whose sum is σ = 1166172231628800. Its totient is φ = 71968849920000.

The previous prime is 320313330130193. The next prime is 320313330130219. The reversal of 320313330130200 is 2031033313023.

It is a super-2 number, since 2×320313330130200² (a number of 30 digits) contains 22 as substring.

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

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 383 ways as a sum of consecutive naturals, for example, 153333330756 + ... + 153333332844.

It is an arithmetic number, because the mean of its divisors is an integer number (759226713300).

Almost surely, 2^{320313330130200} is an apocalyptic number.

320313330130200 is a gapful number since it is divisible by the number (30) 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 320313330130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583086115814400).

320313330130200 is an abundant number, since it is smaller than the sum of its proper divisors (845858901498600).

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

320313330130200 is a wasteful number, since it uses less digits than its factorization.

320313330130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 320313330130200 its reverse (2031033313023), we get a palindrome (322344363443223).

It can be divided in two parts, 3203133 and 30130200, that added together give a palindrome (33333333).

The spelling of 320313330130200 in words is "three hundred twenty trillion, three hundred thirteen billion, three hundred thirty million, one hundred thirty thousand, two hundred".