13221003202133 has 2 divisors, whose sum is σ = 13221003202134. Its totient is φ = 13221003202132.

The previous prime is 13221003202111. The next prime is 13221003202157. The reversal of 13221003202133 is 33120230012231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8909138493124 + 4311864709009 = 2984818^2 + 2076503^2 .

It is a cyclic number.

It is not a de Polignac number, because 13221003202133 - 2¹⁶ = 13221003136597 is a prime.

It is a super-2 number, since 2×13221003202133² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13221003202099 and 13221003202108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13221003204133) 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, 6610501601066 + 6610501601067.

It is an arithmetic number, because the mean of its divisors is an integer number (6610501601067).

Almost surely, 2^{13221003202133} is an apocalyptic number.

It is an amenable number.

13221003202133 is a deficient number, since it is larger than the sum of its proper divisors (1).

13221003202133 is an equidigital number, since it uses as much as digits as its factorization.

13221003202133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 13221003202133 its reverse (33120230012231), we get a palindrome (46341233214364).

The spelling of 13221003202133 in words is "thirteen trillion, two hundred twenty-one billion, three million, two hundred two thousand, one hundred thirty-three".