13838318305337 has 2 divisors, whose sum is σ = 13838318305338. Its totient is φ = 13838318305336.

The previous prime is 13838318305321. The next prime is 13838318305369. The reversal of 13838318305337 is 73350381383831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8698376388601 + 5139941916736 = 2949301^2 + 2267144^2 .

It is a cyclic number.

It is not a de Polignac number, because 13838318305337 - 2⁴ = 13838318305321 is a prime.

It is a super-3 number, since 3×13838318305337³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (13838318305837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6919159152668 + 6919159152669.

It is an arithmetic number, because the mean of its divisors is an integer number (6919159152669).

Almost surely, 2^{13838318305337} is an apocalyptic number.

It is an amenable number.

13838318305337 is a deficient number, since it is larger than the sum of its proper divisors (1).

13838318305337 is an equidigital number, since it uses as much as digits as its factorization.

13838318305337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13063680, while the sum is 56.

The spelling of 13838318305337 in words is "thirteen trillion, eight hundred thirty-eight billion, three hundred eighteen million, three hundred five thousand, three hundred thirty-seven".