13105401340013 has 2 divisors, whose sum is σ = 13105401340014. Its totient is φ = 13105401340012.

The previous prime is 13105401339991. The next prime is 13105401340033. The reversal of 13105401340013 is 31004310450131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10364909813764 + 2740491526249 = 3219458^2 + 1655443^2 .

It is an emirp because it is prime and its reverse (31004310450131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13105401340013 - 2¹⁴ = 13105401323629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13105401340033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6552700670006 + 6552700670007.

It is an arithmetic number, because the mean of its divisors is an integer number (6552700670007).

Almost surely, 2^{13105401340013} is an apocalyptic number.

It is an amenable number.

13105401340013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13105401340013 is an equidigital number, since it uses as much as digits as its factorization.

13105401340013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 13105401340013 its reverse (31004310450131), we get a palindrome (44109711790144).

The spelling of 13105401340013 in words is "thirteen trillion, one hundred five billion, four hundred one million, three hundred forty thousand, thirteen".