13416721676681 has 2 divisors, whose sum is σ = 13416721676682. Its totient is φ = 13416721676680.

The previous prime is 13416721676639. The next prime is 13416721676719. The reversal of 13416721676681 is 18667612761431.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13288095440656 + 128626236025 = 3645284^2 + 358645^2 .

It is an emirp because it is prime and its reverse (18667612761431) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13416721676681 is a prime.

It is a super-2 number, since 2×13416721676681² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13416721676681.

It is not a weakly prime, because it can be changed into another prime (13416721673681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6708360838340 + 6708360838341.

It is an arithmetic number, because the mean of its divisors is an integer number (6708360838341).

Almost surely, 2^{13416721676681} is an apocalyptic number.

It is an amenable number.

13416721676681 is a deficient number, since it is larger than the sum of its proper divisors (1).

13416721676681 is an equidigital number, since it uses as much as digits as its factorization.

13416721676681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12192768, while the sum is 59.

The spelling of 13416721676681 in words is "thirteen trillion, four hundred sixteen billion, seven hundred twenty-one million, six hundred seventy-six thousand, six hundred eighty-one".