13321301331113 has 2 divisors, whose sum is σ = 13321301331114. Its totient is φ = 13321301331112.

The previous prime is 13321301331109. The next prime is 13321301331137. The reversal of 13321301331113 is 31113310312331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8072400392809 + 5248900938304 = 2841197^2 + 2291048^2 .

It is a cyclic number.

It is not a de Polignac number, because 13321301331113 - 2² = 13321301331109 is a prime.

It is not a weakly prime, because it can be changed into another prime (13321301331413) 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, 6660650665556 + 6660650665557.

It is an arithmetic number, because the mean of its divisors is an integer number (6660650665557).

Almost surely, 2^{13321301331113} is an apocalyptic number.

It is an amenable number.

13321301331113 is a deficient number, since it is larger than the sum of its proper divisors (1).

13321301331113 is an equidigital number, since it uses as much as digits as its factorization.

13321301331113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 26.

Adding to 13321301331113 its reverse (31113310312331), we get a palindrome (44434611643444).

The spelling of 13321301331113 in words is "thirteen trillion, three hundred twenty-one billion, three hundred one million, three hundred thirty-one thousand, one hundred thirteen".