1322133033121 has 2 divisors, whose sum is σ = 1322133033122. Its totient is φ = 1322133033120.

The previous prime is 1322133033073. The next prime is 1322133033187. The reversal of 1322133033121 is 1213303312231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1165613892496 + 156519140625 = 1079636^2 + 395625^2 .

It is a cyclic number.

It is not a de Polignac number, because 1322133033121 - 2³⁹ = 772377219233 is a prime.

It is not a weakly prime, because it can be changed into another prime (1322133133121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 661066516560 + 661066516561.

It is an arithmetic number, because the mean of its divisors is an integer number (661066516561).

Almost surely, 2^{1322133033121} is an apocalyptic number.

It is an amenable number.

1322133033121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1322133033121 is an equidigital number, since it uses as much as digits as its factorization.

1322133033121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 1322133033121 its reverse (1213303312231), we get a palindrome (2535436345352).

The spelling of 1322133033121 in words is "one trillion, three hundred twenty-two billion, one hundred thirty-three million, thirty-three thousand, one hundred twenty-one".