13221011133133 has 2 divisors, whose sum is σ = 13221011133134. Its totient is φ = 13221011133132.

The previous prime is 13221011133119. The next prime is 13221011133151. The reversal of 13221011133133 is 33133111012231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10736913618729 + 2484097514404 = 3276723^2 + 1576102^2 .

It is a cyclic number.

It is not a de Polignac number, because 13221011133133 - 2⁵ = 13221011133101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13221011133098 and 13221011133107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13221011133433) 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, 6610505566566 + 6610505566567.

It is an arithmetic number, because the mean of its divisors is an integer number (6610505566567).

Almost surely, 2^{13221011133133} is an apocalyptic number.

It is an amenable number.

13221011133133 is a deficient number, since it is larger than the sum of its proper divisors (1).

13221011133133 is an equidigital number, since it uses as much as digits as its factorization.

13221011133133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 13221011133133 its reverse (33133111012231), we get a palindrome (46354122145364).

The spelling of 13221011133133 in words is "thirteen trillion, two hundred twenty-one billion, eleven million, one hundred thirty-three thousand, one hundred thirty-three".