13544200313353 has 2 divisors, whose sum is σ = 13544200313354. Its totient is φ = 13544200313352.

The previous prime is 13544200313351. The next prime is 13544200313389. The reversal of 13544200313353 is 35331300244531.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10351070766864 + 3193129546489 = 3217308^2 + 1786933^2 .

It is a cyclic number.

It is not a de Polignac number, because 13544200313353 - 2¹ = 13544200313351 is a prime.

Together with 13544200313351, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13544200313351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6772100156676 + 6772100156677.

It is an arithmetic number, because the mean of its divisors is an integer number (6772100156677).

Almost surely, 2^{13544200313353} is an apocalyptic number.

It is an amenable number.

13544200313353 is a deficient number, since it is larger than the sum of its proper divisors (1).

13544200313353 is an equidigital number, since it uses as much as digits as its factorization.

13544200313353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 194400, while the sum is 37.

Adding to 13544200313353 its reverse (35331300244531), we get a palindrome (48875500557884).

The spelling of 13544200313353 in words is "thirteen trillion, five hundred forty-four billion, two hundred million, three hundred thirteen thousand, three hundred fifty-three".