320130331201020 has 192 divisors, whose sum is σ = 908191955994624. Its totient is φ = 84248992235520.

The previous prime is 320130331201003. The next prime is 320130331201027. The reversal of 320130331201020 is 20102133031023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320130331201027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1476568825 + ... + 1476785615.

It is an arithmetic number, because the mean of its divisors is an integer number (4730166437472).

Almost surely, 2^{320130331201020} is an apocalyptic number.

320130331201020 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 320130331201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454095977997312).

320130331201020 is an abundant number, since it is smaller than the sum of its proper divisors (588061624793604).

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

320130331201020 is a wasteful number, since it uses less digits than its factorization.

320130331201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217852 (or 217850 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 320130331201020 its reverse (20102133031023), we get a palindrome (340232464232043).

The spelling of 320130331201020 in words is "three hundred twenty trillion, one hundred thirty billion, three hundred thirty-one million, two hundred one thousand, twenty".