320113210120 has 96 divisors (see below), whose sum is σ = 795144835800. Its totient is φ = 115896084480.

The previous prime is 320113210057. The next prime is 320113210147. The reversal of 320113210120 is 21012311023.

It can be written as a sum of positive squares in 4 ways, for example, as 315783306916 + 4329903204 = 561946^2 + 65802^2 .

It is a junction number, because it is equal to n+sod(n) for n = 320113210094 and 320113210103.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 963952 + ... + 1252768.

Almost surely, 2^320113210120 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 320113210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397572417900).

320113210120 is an abundant number, since it is smaller than the sum of its proper divisors (475031625680).

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

320113210120 is a wasteful number, since it uses less digits than its factorization.

320113210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289079 (or 289064 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 320113210120 its reverse (21012311023), we get a palindrome (341125521143).

The spelling of 320113210120 in words is "three hundred twenty billion, one hundred thirteen million, two hundred ten thousand, one hundred twenty".