13680011413 has 2 divisors, whose sum is σ = 13680011414. Its totient is φ = 13680011412.

The previous prime is 13680011363. The next prime is 13680011479. The reversal of 13680011413 is 31411008631.

13680011413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12682588689 + 997422724 = 112617^2 + 31582^2 .

It is a cyclic number.

It is not a de Polignac number, because 13680011413 - 2²⁵ = 13646456981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13680711413) 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, 6840005706 + 6840005707.

It is an arithmetic number, because the mean of its divisors is an integer number (6840005707).

Almost surely, 2^13680011413 is an apocalyptic number.

It is an amenable number.

13680011413 is a deficient number, since it is larger than the sum of its proper divisors (1).

13680011413 is an equidigital number, since it uses as much as digits as its factorization.

13680011413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 13680011413 in words is "thirteen billion, six hundred eighty million, eleven thousand, four hundred thirteen".