13701341657 has 2 divisors, whose sum is σ = 13701341658. Its totient is φ = 13701341656.

The previous prime is 13701341639. The next prime is 13701341659. The reversal of 13701341657 is 75614310731.

13701341657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12695880976 + 1005460681 = 112676^2 + 31709^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13701341657 is a prime.

Together with 13701341659, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13701341657.

It is not a weakly prime, because it can be changed into another prime (13701341659) 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, 6850670828 + 6850670829.

It is an arithmetic number, because the mean of its divisors is an integer number (6850670829).

Almost surely, 2^13701341657 is an apocalyptic number.

It is an amenable number.

13701341657 is a deficient number, since it is larger than the sum of its proper divisors (1).

13701341657 is an equidigital number, since it uses as much as digits as its factorization.

13701341657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52920, while the sum is 38.

The spelling of 13701341657 in words is "thirteen billion, seven hundred one million, three hundred forty-one thousand, six hundred fifty-seven".