13532668900 has 27 divisors (see below), whose sum is σ = 29368416091. Its totient is φ = 5412602240.

The previous prime is 13532668883. The next prime is 13532668909. The reversal of 13532668900 is 986623531.

The square root of 13532668900 is 116330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 22791076 + 13509877824 = 4774^2 + 116232^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13532668909) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1157484 + ... + 1169116.

Almost surely, 2^13532668900 is an apocalyptic number.

13532668900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13532668900 is the 116330-th square number.

It is an amenable number.

13532668900 is an abundant number, since it is smaller than the sum of its proper divisors (15835747191).

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

13532668900 is an frugal number, since it uses more digits than its factorization.

13532668900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23280 (or 11640 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The spelling of 13532668900 in words is "thirteen billion, five hundred thirty-two million, six hundred sixty-eight thousand, nine hundred".