13663254100 has 36 divisors (see below), whose sum is σ = 30372423228. Its totient is φ = 5332000000.

The previous prime is 13663254083. The next prime is 13663254107. The reversal of 13663254100 is 145236631.

13663254100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 549339844 + 13113914256 = 23438^2 + 114516^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13663254107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1662151 + ... + 1670350.

It is an arithmetic number, because the mean of its divisors is an integer number (843678423).

Almost surely, 2^13663254100 is an apocalyptic number.

13663254100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13663254100 is an abundant number, since it is smaller than the sum of its proper divisors (16709169128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13663254100 is a wasteful number, since it uses less digits than its factorization.

13663254100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3332556 (or 3332549 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 13663254100 in words is "thirteen billion, six hundred sixty-three million, two hundred fifty-four thousand, one hundred".