13532644100 has 72 divisors (see below), whose sum is σ = 30406803840. Its totient is φ = 5221525120.

The previous prime is 13532644087. The next prime is 13532644123. The reversal of 13532644100 is 144623531.

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 5529077 + ... + 5531523.

It is an arithmetic number, because the mean of its divisors is an integer number (422316720).

Almost surely, 2^13532644100 is an apocalyptic number.

13532644100 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 13532644100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15203401920).

13532644100 is an abundant number, since it is smaller than the sum of its proper divisors (16874159740).

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

13532644100 is a wasteful number, since it uses less digits than its factorization.

13532644100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4397 (or 4390 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The spelling of 13532644100 in words is "thirteen billion, five hundred thirty-two million, six hundred forty-four thousand, one hundred".