13634521100 has 72 divisors (see below), whose sum is σ = 30679130160. Its totient is φ = 5253364480.

The previous prime is 13634521093. The next prime is 13634521123. The reversal of 13634521100 is 112543631.

It is a self number, because there is not a number n which added to its sum of digits gives 13634521100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1279394 + ... + 1290006.

It is an arithmetic number, because the mean of its divisors is an integer number (426099030).

Almost surely, 2^13634521100 is an apocalyptic number.

13634521100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13634521100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15339565080).

13634521100 is an abundant number, since it is smaller than the sum of its proper divisors (17044609060).

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

13634521100 is a wasteful number, since it uses less digits than its factorization.

13634521100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11099 (or 11092 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The spelling of 13634521100 in words is "thirteen billion, six hundred thirty-four million, five hundred twenty-one thousand, one hundred".