13513454144209 has 2 divisors, whose sum is σ = 13513454144210. Its totient is φ = 13513454144208.

The previous prime is 13513454144207. The next prime is 13513454144231. The reversal of 13513454144209 is 90244145431531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8356308369984 + 5157145774225 = 2890728^2 + 2270935^2 .

It is a cyclic number.

It is not a de Polignac number, because 13513454144209 - 2¹ = 13513454144207 is a prime.

It is a super-2 number, since 2×13513454144209² (a number of 27 digits) contains 22 as substring.

Together with 13513454144207, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13513454144207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6756727072104 + 6756727072105.

It is an arithmetic number, because the mean of its divisors is an integer number (6756727072105).

Almost surely, 2^{13513454144209} is an apocalyptic number.

It is an amenable number.

13513454144209 is a deficient number, since it is larger than the sum of its proper divisors (1).

13513454144209 is an equidigital number, since it uses as much as digits as its factorization.

13513454144209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 13513454144209 in words is "thirteen trillion, five hundred thirteen billion, four hundred fifty-four million, one hundred forty-four thousand, two hundred nine".