13057314833341 has 2 divisors, whose sum is σ = 13057314833342. Its totient is φ = 13057314833340.

The previous prime is 13057314833327. The next prime is 13057314833351. The reversal of 13057314833341 is 14333841375031.

13057314833341 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., 13020586644025 + 36728189316 = 3608405^2 + 191646^2 .

It is a cyclic number.

It is not a de Polignac number, because 13057314833341 - 2⁹ = 13057314832829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13057314833291 and 13057314833300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13057314833351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6528657416670 + 6528657416671.

It is an arithmetic number, because the mean of its divisors is an integer number (6528657416671).

Almost surely, 2^{13057314833341} is an apocalyptic number.

It is an amenable number.

13057314833341 is a deficient number, since it is larger than the sum of its proper divisors (1).

13057314833341 is an equidigital number, since it uses as much as digits as its factorization.

13057314833341 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1088640, while the sum is 46.

The spelling of 13057314833341 in words is "thirteen trillion, fifty-seven billion, three hundred fourteen million, eight hundred thirty-three thousand, three hundred forty-one".