320013013122 has 96 divisors (see below), whose sum is σ = 775436747904. Its totient is φ = 94535942400.

The previous prime is 320013013063. The next prime is 320013013129. The reversal of 320013013122 is 221310310023.

320013013122 is a `hidden beast` number, since 320 + 0 + 1 + 30 + 1 + 312 + 2 = 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 = 320013013095 and 320013013104.

It is not an unprimeable number, because it can be changed into a prime (320013013129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11082888 + ... + 11111724.

It is an arithmetic number, because the mean of its divisors is an integer number (8077466124).

Almost surely, 2^320013013122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320013013122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387718373952).

320013013122 is an abundant number, since it is smaller than the sum of its proper divisors (455423734782).

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

320013013122 is a wasteful number, since it uses less digits than its factorization.

320013013122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30264 (or 30261 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 320013013122 its reverse (221310310023), we get a palindrome (541323323145).

The spelling of 320013013122 in words is "three hundred twenty billion, thirteen million, thirteen thousand, one hundred twenty-two".