13540255101 has 12 divisors (see below), whose sum is σ = 19603320828. Its totient is φ = 9005986944.

The previous prime is 13540255097. The next prime is 13540255103. The reversal of 13540255101 is 10155204531.

13540255101 is a `hidden beast` number, since 13 + 540 + 2 + 5 + 5 + 101 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2970359001 + 10569896100 = 54501^2 + 102810^2 .

It is not a de Polignac number, because 13540255101 - 2² = 13540255097 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13540255103) 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, 1733370 + ... + 1741163.

It is an arithmetic number, because the mean of its divisors is an integer number (1633610069).

Almost surely, 2^13540255101 is an apocalyptic number.

It is an amenable number.

13540255101 is a deficient number, since it is larger than the sum of its proper divisors (6063065727).

13540255101 is a wasteful number, since it uses less digits than its factorization.

13540255101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474972 (or 3474969 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 13540255101 its reverse (10155204531), we get a palindrome (23695459632).

The spelling of 13540255101 in words is "thirteen billion, five hundred forty million, two hundred fifty-five thousand, one hundred one".