320133123214133 has 2 divisors, whose sum is σ = 320133123214134. Its totient is φ = 320133123214132.

The previous prime is 320133123214129. The next prime is 320133123214169. The reversal of 320133123214133 is 331412321331023.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 304050119843089 + 16083003371044 = 17437033^2 + 4010362^2 .

It is a cyclic number.

It is not a de Polignac number, because 320133123214133 - 2² = 320133123214129 is a prime.

It is a super-2 number, since 2×320133123214133² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 320133123214133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (320133123214433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160066561607066 + 160066561607067.

It is an arithmetic number, because the mean of its divisors is an integer number (160066561607067).

Almost surely, 2^{320133123214133} is an apocalyptic number.

It is an amenable number.

320133123214133 is a deficient number, since it is larger than the sum of its proper divisors (1).

320133123214133 is an equidigital number, since it uses as much as digits as its factorization.

320133123214133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23328, while the sum is 32.

Adding to 320133123214133 its reverse (331412321331023), we get a palindrome (651545444545156).

The spelling of 320133123214133 in words is "three hundred twenty trillion, one hundred thirty-three billion, one hundred twenty-three million, two hundred fourteen thousand, one hundred thirty-three".