320013133020 has 240 divisors, whose sum is σ = 1160201085120. Its totient is φ = 72323767296.

The previous prime is 320013133019. The next prime is 320013133043. The reversal of 320013133020 is 20331310023.

320013133020 is a `hidden beast` number, since 3 + 200 + 131 + 330 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 320013132984 and 320013133002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 850722 + ... + 1167798.

It is an arithmetic number, because the mean of its divisors is an integer number (4834171188).

Almost surely, 2^320013133020 is an apocalyptic number.

320013133020 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 320013133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580100542560).

320013133020 is an abundant number, since it is smaller than the sum of its proper divisors (840187952100).

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

320013133020 is a wasteful number, since it uses less digits than its factorization.

320013133020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317194 (or 317183 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 320013133020 its reverse (20331310023), we get a palindrome (340344443043).

The spelling of 320013133020 in words is "three hundred twenty billion, thirteen million, one hundred thirty-three thousand, twenty".