13105351316053 has 2 divisors, whose sum is σ = 13105351316054. Its totient is φ = 13105351316052.

The previous prime is 13105351316041. The next prime is 13105351316063. The reversal of 13105351316053 is 35061315350131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8268971838724 + 4836379477329 = 2875582^2 + 2199177^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13105351316053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13105351316063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6552675658026 + 6552675658027.

It is an arithmetic number, because the mean of its divisors is an integer number (6552675658027).

Almost surely, 2^{13105351316053} is an apocalyptic number.

It is an amenable number.

13105351316053 is a deficient number, since it is larger than the sum of its proper divisors (1).

13105351316053 is an equidigital number, since it uses as much as digits as its factorization.

13105351316053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60750, while the sum is 37.

Adding to 13105351316053 its reverse (35061315350131), we get a palindrome (48166666666184).

The spelling of 13105351316053 in words is "thirteen trillion, one hundred five billion, three hundred fifty-one million, three hundred sixteen thousand, fifty-three".