13524100101 has 12 divisors (see below), whose sum is σ = 19535819212. Its totient is φ = 9015601536.

The previous prime is 13524100019. The next prime is 13524100133. The reversal of 13524100101 is 10100142531.

It can be written as a sum of positive squares in 2 ways, for example, as 5069297601 + 8454802500 = 71199^2 + 91950^2 .

It is not a de Polignac number, because 13524100101 - 2⁷ = 13524099973 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13524100171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 325245 + ... + 364461.

Almost surely, 2^13524100101 is an apocalyptic number.

It is an amenable number.

13524100101 is a deficient number, since it is larger than the sum of its proper divisors (6011719111).

13524100101 is a wasteful number, since it uses less digits than its factorization.

13524100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77540 (or 77537 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 13524100101 its reverse (10100142531), we get a palindrome (23624242632).

The spelling of 13524100101 in words is "thirteen billion, five hundred twenty-four million, one hundred thousand, one hundred one".