320100513200 has 240 divisors, whose sum is σ = 842805702816. Its totient is φ = 116116070400.

The previous prime is 320100513197. The next prime is 320100513203. The reversal of 320100513200 is 2315001023.

It is an interprime number because it is at equal distance from previous prime (320100513197) and next prime (320100513203).

It is not an unprimeable number, because it can be changed into a prime (320100513203) 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 47 ways as a sum of consecutive naturals, for example, 160611404 + ... + 160613396.

Almost surely, 2^320100513200 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 320100513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421402851408).

320100513200 is an abundant number, since it is smaller than the sum of its proper divisors (522705189616).

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

320100513200 is a wasteful number, since it uses less digits than its factorization.

320100513200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

Adding to 320100513200 its reverse (2315001023), we get a palindrome (322415514223).

The spelling of 320100513200 in words is "three hundred twenty billion, one hundred million, five hundred thirteen thousand, two hundred".