13528016100 has 81 divisors (see below), whose sum is σ = 42413754747. Its totient is φ = 3606540480.

The previous prime is 13528016083. The next prime is 13528016107. The reversal of 13528016100 is 161082531.

The square root of 13528016100 is 116310.

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 2039606244 + 11488409856 = 45162^2 + 107184^2 .

It is not an unprimeable number, because it can be changed into a prime (13528016107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3487362 + ... + 3491238.

Almost surely, 2^13528016100 is an apocalyptic number.

13528016100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13528016100 is the 116310-th square number.

It is an amenable number.

13528016100 is an abundant number, since it is smaller than the sum of its proper divisors (28885738647).

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

13528016100 is an equidigital number, since it uses as much as digits as its factorization.

13528016100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7774 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 13528016100 its reverse (161082531), we get a palindrome (13689098631).

The spelling of 13528016100 in words is "thirteen billion, five hundred twenty-eight million, sixteen thousand, one hundred".