13820207300257 has 2 divisors, whose sum is σ = 13820207300258. Its totient is φ = 13820207300256.

The previous prime is 13820207300231. The next prime is 13820207300297. The reversal of 13820207300257 is 75200370202831.

13820207300257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (13820207300297) can be obtained adding 13820207300257 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13720623506496 + 99583793761 = 3704136^2 + 315569^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13820207300257 is a prime.

It is not a weakly prime, because it can be changed into another prime (13820207300297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6910103650128 + 6910103650129.

It is an arithmetic number, because the mean of its divisors is an integer number (6910103650129).

Almost surely, 2^{13820207300257} is an apocalyptic number.

It is an amenable number.

13820207300257 is a deficient number, since it is larger than the sum of its proper divisors (1).

13820207300257 is an equidigital number, since it uses as much as digits as its factorization.

13820207300257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 13820207300257 in words is "thirteen trillion, eight hundred twenty billion, two hundred seven million, three hundred thousand, two hundred fifty-seven".