13634521101 has 20 divisors (see below), whose sum is σ = 21565715292. Its totient is φ = 8554992768.

The previous prime is 13634521093. The next prime is 13634521123. The reversal of 13634521101 is 10112543631.

It is a happy number.

13634521101 is a `hidden beast` number, since 1 + 3 + 6 + 34 + 521 + 101 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10180608201 + 3453912900 = 100899^2 + 58770^2 .

It is not a de Polignac number, because 13634521101 - 2³ = 13634521093 is a prime.

It is a super-2 number, since 2×13634521101² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13634521171) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4949430 + ... + 4952183.

Almost surely, 2^13634521101 is an apocalyptic number.

It is an amenable number.

13634521101 is a deficient number, since it is larger than the sum of its proper divisors (7931194191).

13634521101 is an equidigital number, since it uses as much as digits as its factorization.

13634521101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9901642 (or 9901633 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 13634521101 in words is "thirteen billion, six hundred thirty-four million, five hundred twenty-one thousand, one hundred one".