320013300332232 has 192 divisors, whose sum is σ = 942466716172800. Its totient is φ = 97506268024320.

The previous prime is 320013300332161. The next prime is 320013300332249. The reversal of 320013300332232 is 232233003310023.

320013300332232 is a `hidden beast` number, since 3 + 2 + 0 + 0 + 1 + 3 + 300 + 3 + 322 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 320013300332196 and 320013300332205.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5424752257 + ... + 5424811247.

It is an arithmetic number, because the mean of its divisors is an integer number (4908680813400).

Almost surely, 2^{320013300332232} 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 320013300332232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471233358086400).

320013300332232 is an abundant number, since it is smaller than the sum of its proper divisors (622453415840568).

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

320013300332232 is a wasteful number, since it uses less digits than its factorization.

320013300332232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115388 (or 115381 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 320013300332232 its reverse (232233003310023), we get a palindrome (552246303642255).

The spelling of 320013300332232 in words is "three hundred twenty trillion, thirteen billion, three hundred million, three hundred thirty-two thousand, two hundred thirty-two".