320131000200 has 192 divisors, whose sum is σ = 1085218041600. Its totient is φ = 77421625600.

The previous prime is 320131000187. The next prime is 320131000201. The reversal of 320131000200 is 2000131023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (320131000201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2707519 + ... + 2823281.

It is an arithmetic number, because the mean of its divisors is an integer number (5652177300).

Almost surely, 2^320131000200 is an apocalyptic number.

320131000200 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 320131000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542609020800).

320131000200 is an abundant number, since it is smaller than the sum of its proper divisors (765087041400).

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

320131000200 is a wasteful number, since it uses less digits than its factorization.

320131000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116212 (or 116203 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 320131000200 its reverse (2000131023), we get a palindrome (322131131223).

The spelling of 320131000200 in words is "three hundred twenty billion, one hundred thirty-one million, two hundred", and thus it is an aban number.