13540211513 has 2 divisors, whose sum is σ = 13540211514. Its totient is φ = 13540211512.

The previous prime is 13540211497. The next prime is 13540211539. The reversal of 13540211513 is 31511204531.

It is an a-pointer prime, because the next prime (13540211539) can be obtained adding 13540211513 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11974268329 + 1565943184 = 109427^2 + 39572^2 .

It is a cyclic number.

It is not a de Polignac number, because 13540211513 - 2⁴ = 13540211497 is a prime.

It is not a weakly prime, because it can be changed into another prime (13540211213) 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, 6770105756 + 6770105757.

It is an arithmetic number, because the mean of its divisors is an integer number (6770105757).

Almost surely, 2^13540211513 is an apocalyptic number.

It is an amenable number.

13540211513 is a deficient number, since it is larger than the sum of its proper divisors (1).

13540211513 is an equidigital number, since it uses as much as digits as its factorization.

13540211513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 26.

The spelling of 13540211513 in words is "thirteen billion, five hundred forty million, two hundred eleven thousand, five hundred thirteen".