320131322002000 has 80 divisors (see below), whose sum is σ = 774268356702672. Its totient is φ = 128020962201600.

The previous prime is 320131322001979. The next prime is 320131322002001. The reversal of 320131322002000 is 200223131023.

It can be written as a sum of positive squares in 8 ways, for example, as 141655509255744 + 178475812746256 = 11901912^2 + 13359484^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320131322002001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11613097 + ... + 27841096.

Almost surely, 2^{320131322002000} is an apocalyptic number.

It is an amenable number.

320131322002000 is an abundant number, since it is smaller than the sum of its proper divisors (454137034700672).

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

320131322002000 is a wasteful number, since it uses less digits than its factorization.

320131322002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39458273 (or 39458257 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 320131322002000 its reverse (200223131023), we get a palindrome (320331545133023).

The spelling of 320131322002000 in words is "three hundred twenty trillion, one hundred thirty-one billion, three hundred twenty-two million, two thousand".