123221131332133 has 2 divisors, whose sum is σ = 123221131332134. Its totient is φ = 123221131332132.

The previous prime is 123221131332127. The next prime is 123221131332227. The reversal of 123221131332133 is 331233131122321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 123116289425284 + 104841906849 = 11095778^2 + 323793^2 .

It is a cyclic number.

It is not a de Polignac number, because 123221131332133 - 2³³ = 123212541397541 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123221131332095 and 123221131332104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123221131332833) 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 as a sum of consecutive naturals, namely, 61610565666066 + 61610565666067.

It is an arithmetic number, because the mean of its divisors is an integer number (61610565666067).

Almost surely, 2^{123221131332133} is an apocalyptic number.

It is an amenable number.

123221131332133 is a deficient number, since it is larger than the sum of its proper divisors (1).

123221131332133 is an equidigital number, since it uses as much as digits as its factorization.

123221131332133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11664, while the sum is 31.

Adding to 123221131332133 its reverse (331233131122321), we get a palindrome (454454262454454).

The spelling of 123221131332133 in words is "one hundred twenty-three trillion, two hundred twenty-one billion, one hundred thirty-one million, three hundred thirty-two thousand, one hundred thirty-three".