13221311322033 has 24 divisors (see below), whose sum is σ = 19415210158656. Its totient is φ = 8668174284000.

The previous prime is 13221311322007. The next prime is 13221311322067. The reversal of 13221311322033 is 33022311312231.

13221311322033 is a `hidden beast` number, since 1 + 3 + 2 + 21 + 311 + 322 + 0 + 3 + 3 = 666.

It is not a de Polignac number, because 13221311322033 - 2²⁵ = 13221277767601 is a prime.

It is a super-3 number, since 3×13221311322033³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13221311321988 and 13221311322006.

It is not an unprimeable number, because it can be changed into a prime (13221311322733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25805043 + ... + 26312408.

It is an arithmetic number, because the mean of its divisors is an integer number (808967089944).

Almost surely, 2^{13221311322033} is an apocalyptic number.

It is an amenable number.

13221311322033 is a deficient number, since it is larger than the sum of its proper divisors (6193898836623).

13221311322033 is a wasteful number, since it uses less digits than its factorization.

13221311322033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52117925 (or 52117922 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13221311322033 its reverse (33022311312231), we get a palindrome (46243622634264).

The spelling of 13221311322033 in words is "thirteen trillion, two hundred twenty-one billion, three hundred eleven million, three hundred twenty-two thousand, thirty-three".