13102736817349 has 2 divisors, whose sum is σ = 13102736817350. Its totient is φ = 13102736817348.

The previous prime is 13102736817263. The next prime is 13102736817371. The reversal of 13102736817349 is 94371863720131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12636496396225 + 466240421124 = 3554785^2 + 682818^2 .

It is a cyclic number.

It is not a de Polignac number, because 13102736817349 - 2¹³ = 13102736809157 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13102736817349.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13102736817749) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6551368408674 + 6551368408675.

It is an arithmetic number, because the mean of its divisors is an integer number (6551368408675).

Almost surely, 2^{13102736817349} is an apocalyptic number.

It is an amenable number.

13102736817349 is a deficient number, since it is larger than the sum of its proper divisors (1).

13102736817349 is an equidigital number, since it uses as much as digits as its factorization.

13102736817349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4572288, while the sum is 55.

The spelling of 13102736817349 in words is "thirteen trillion, one hundred two billion, seven hundred thirty-six million, eight hundred seventeen thousand, three hundred forty-nine".