320220120033 has 54 divisors (see below), whose sum is σ = 540078251622. Its totient is φ = 182656573440.

The previous prime is 320220120023. The next prime is 320220120037. The reversal of 320220120033 is 330021022023.

It is a happy number.

320220120033 is a `hidden beast` number, since 320 + 220 + 120 + 0 + 3 + 3 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 80523710289 + 239696409744 = 283767^2 + 489588^2 .

It is not a de Polignac number, because 320220120033 - 2⁵ = 320220120001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 320220119988 and 320220120015.

It is not an unprimeable number, because it can be changed into a prime (320220120037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 194016 + ... + 823457.

Almost surely, 2^320220120033 is an apocalyptic number.

320220120033 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

320220120033 is a deficient number, since it is larger than the sum of its proper divisors (219858131589).

320220120033 is a wasteful number, since it uses less digits than its factorization.

320220120033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017535 (or 1017504 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 320220120033 its reverse (330021022023), we get a palindrome (650241142056).

The spelling of 320220120033 in words is "three hundred twenty billion, two hundred twenty million, one hundred twenty thousand, thirty-three".