320131332312033 has 32 divisors (see below), whose sum is σ = 501552148584960. Its totient is φ = 179532871338240.

The previous prime is 320131332311993. The next prime is 320131332312059. The reversal of 320131332312033 is 330213233131023.

It is not a de Polignac number, because 320131332312033 - 2⁶ = 320131332311969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (320131332313033) 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 31 ways as a sum of consecutive naturals, for example, 5936906616 + ... + 5936960537.

It is an arithmetic number, because the mean of its divisors is an integer number (15673504643280).

Almost surely, 2^{320131332312033} is an apocalyptic number.

320131332312033 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

320131332312033 is a deficient number, since it is larger than the sum of its proper divisors (181420816272927).

320131332312033 is a wasteful number, since it uses less digits than its factorization.

320131332312033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11873867229.

The product of its (nonzero) digits is 17496, while the sum is 30.

Adding to 320131332312033 its reverse (330213233131023), we get a palindrome (650344565443056).

The spelling of 320131332312033 in words is "three hundred twenty trillion, one hundred thirty-one billion, three hundred thirty-two million, three hundred twelve thousand, thirty-three".