13354524011513 has 2 divisors, whose sum is σ = 13354524011514. Its totient is φ = 13354524011512.

The previous prime is 13354524011489. The next prime is 13354524011519. The reversal of 13354524011513 is 31511042545331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10947548629264 + 2406975382249 = 3308708^2 + 1551443^2 .

It is a cyclic number.

It is not a de Polignac number, because 13354524011513 - 2³⁰ = 13353450269689 is a prime.

It is not a weakly prime, because it can be changed into another prime (13354524011519) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6677262005756 + 6677262005757.

It is an arithmetic number, because the mean of its divisors is an integer number (6677262005757).

Almost surely, 2^{13354524011513} is an apocalyptic number.

It is an amenable number.

13354524011513 is a deficient number, since it is larger than the sum of its proper divisors (1).

13354524011513 is an equidigital number, since it uses as much as digits as its factorization.

13354524011513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108000, while the sum is 38.

Adding to 13354524011513 its reverse (31511042545331), we get a palindrome (44865566556844).

The spelling of 13354524011513 in words is "thirteen trillion, three hundred fifty-four billion, five hundred twenty-four million, eleven thousand, five hundred thirteen".