320103033120 has 144 divisors (see below), whose sum is σ = 1176378715512. Its totient is φ = 78794588160.

The previous prime is 320103033113. The next prime is 320103033149. The reversal of 320103033120 is 21330301023.

320103033120 is a `hidden beast` number, since 320 + 1 + 0 + 30 + 3 + 312 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 296506386576 + 23596646544 = 544524^2 + 153612^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 = 320103033093 and 320103033102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8531041 + ... + 8568480.

Almost surely, 2^320103033120 is an apocalyptic number.

320103033120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320103033120 is an abundant number, since it is smaller than the sum of its proper divisors (856275682392).

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

320103033120 is a wasteful number, since it uses less digits than its factorization.

320103033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17099555 (or 17099544 counting only the distinct ones).

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

Adding to 320103033120 its reverse (21330301023), we get a palindrome (341433334143).

The spelling of 320103033120 in words is "three hundred twenty billion, one hundred three million, thirty-three thousand, one hundred twenty".