13523540110001 has 4 divisors (see below), whose sum is σ = 13523648431104. Its totient is φ = 13523431788900.

The previous prime is 13523540109977. The next prime is 13523540110007. The reversal of 13523540110001 is 10001104532531.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 13523540110001 - 2³⁸ = 13248662203057 is a prime.

It is a super-2 number, since 2×13523540110001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13523540110007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53973065 + ... + 54223046.

It is an arithmetic number, because the mean of its divisors is an integer number (3380912107776).

Almost surely, 2^{13523540110001} is an apocalyptic number.

It is an amenable number.

13523540110001 is a deficient number, since it is larger than the sum of its proper divisors (108321103).

13523540110001 is a wasteful number, since it uses less digits than its factorization.

13523540110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108321102.

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

Adding to 13523540110001 its reverse (10001104532531), we get a palindrome (23524644642532).

The spelling of 13523540110001 in words is "thirteen trillion, five hundred twenty-three billion, five hundred forty million, one hundred ten thousand, one".