1322133133121 has 2 divisors, whose sum is σ = 1322133133122. Its totient is φ = 1322133133120.

The previous prime is 1322133133093. The next prime is 1322133133129. The reversal of 1322133133121 is 1213313312231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1029494329600 + 292638803521 = 1014640^2 + 540961^2 .

It is a cyclic number.

It is not a de Polignac number, because 1322133133121 - 2¹⁴ = 1322133116737 is a prime.

It is not a weakly prime, because it can be changed into another prime (1322133133129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 661066566560 + 661066566561.

It is an arithmetic number, because the mean of its divisors is an integer number (661066566561).

Almost surely, 2^{1322133133121} is an apocalyptic number.

It is an amenable number.

1322133133121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1322133133121 is an equidigital number, since it uses as much as digits as its factorization.

1322133133121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1944, while the sum is 26.

Adding to 1322133133121 its reverse (1213313312231), we get a palindrome (2535446445352).

The spelling of 1322133133121 in words is "one trillion, three hundred twenty-two billion, one hundred thirty-three million, one hundred thirty-three thousand, one hundred twenty-one".