1331212211321 has 2 divisors, whose sum is σ = 1331212211322. Its totient is φ = 1331212211320.

The previous prime is 1331212211291. The next prime is 1331212211333. The reversal of 1331212211321 is 1231122121331.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1155367014400 + 175845196921 = 1074880^2 + 419339^2 .

It is a cyclic number.

It is not a de Polignac number, because 1331212211321 - 2³⁴ = 1314032342137 is a prime.

It is not a weakly prime, because it can be changed into another prime (1331212211821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 665606105660 + 665606105661.

It is an arithmetic number, because the mean of its divisors is an integer number (665606105661).

Almost surely, 2^{1331212211321} is an apocalyptic number.

It is an amenable number.

1331212211321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331212211321 is an equidigital number, since it uses as much as digits as its factorization.

1331212211321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 432, while the sum is 23.

Adding to 1331212211321 its reverse (1231122121331), we get a palindrome (2562334332652).

The spelling of 1331212211321 in words is "one trillion, three hundred thirty-one billion, two hundred twelve million, two hundred eleven thousand, three hundred twenty-one".