13313112221021 has 2 divisors, whose sum is σ = 13313112221022. Its totient is φ = 13313112221020.

The previous prime is 13313112220841. The next prime is 13313112221023. The reversal of 13313112221021 is 12012221131331.

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., 12242686092025 + 1070426128996 = 3498955^2 + 1034614^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13313112221021 is a prime.

Together with 13313112221023, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13313112221023) 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, 6656556110510 + 6656556110511.

It is an arithmetic number, because the mean of its divisors is an integer number (6656556110511).

Almost surely, 2^{13313112221021} is an apocalyptic number.

It is an amenable number.

13313112221021 is a deficient number, since it is larger than the sum of its proper divisors (1).

13313112221021 is an equidigital number, since it uses as much as digits as its factorization.

13313112221021 is an odious number, because the sum of its binary digits is odd.

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

Adding to 13313112221021 its reverse (12012221131331), we get a palindrome (25325333352352).

The spelling of 13313112221021 in words is "thirteen trillion, three hundred thirteen billion, one hundred twelve million, two hundred twenty-one thousand, twenty-one".