13140351413505 has 12 divisors (see below), whose sum is σ = 22776609116820. Its totient is φ = 7008187420512.

The previous prime is 13140351413503. The next prime is 13140351413513. The reversal of 13140351413505 is 50531415304131.

13140351413505 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 0 + 3 + 5 + 141 + 3 + 505 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1706816828304 + 11433534585201 = 1306452^2 + 3381351^2 .

It is not a de Polignac number, because 13140351413505 - 2¹ = 13140351413503 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13140351413505.

It is not an unprimeable number, because it can be changed into a prime (13140351413503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146003904550 + ... + 146003904639.

It is an arithmetic number, because the mean of its divisors is an integer number (1898050759735).

Almost surely, 2^{13140351413505} is an apocalyptic number.

13140351413505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13140351413505 is a deficient number, since it is larger than the sum of its proper divisors (9636257703315).

13140351413505 is a wasteful number, since it uses less digits than its factorization.

13140351413505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292007809200 (or 292007809197 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 13140351413505 its reverse (50531415304131), we get a palindrome (63671766717636).

The spelling of 13140351413505 in words is "thirteen trillion, one hundred forty billion, three hundred fifty-one million, four hundred thirteen thousand, five hundred five".