320023331102133 has 24 divisors (see below), whose sum is σ = 466736980903128. Its totient is φ = 211290303823872.

The previous prime is 320023331102113. The next prime is 320023331102201. The reversal of 320023331102133 is 331201133320023.

320023331102133 is a `hidden beast` number, since 3 + 2 + 0 + 0 + 2 + 333 + 110 + 213 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 167808758626404 + 152214572475729 = 12954102^2 + 12337527^2 .

It is not a de Polignac number, because 320023331102133 - 2¹³ = 320023331093941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 320023331102097 and 320023331102106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320023331102113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 399480060 + ... + 400280357.

It is an arithmetic number, because the mean of its divisors is an integer number (19447374204297).

Almost surely, 2^{320023331102133} is an apocalyptic number.

It is an amenable number.

320023331102133 is a deficient number, since it is larger than the sum of its proper divisors (146713649800995).

320023331102133 is a wasteful number, since it uses less digits than its factorization.

320023331102133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799760853 (or 799760850 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 320023331102133 its reverse (331201133320023), we get a palindrome (651224464422156).

The spelling of 320023331102133 in words is "three hundred twenty trillion, twenty-three billion, three hundred thirty-one million, one hundred two thousand, one hundred thirty-three".