13411956100 has 81 divisors (see below), whose sum is σ = 30007667277. Its totient is φ = 5203111680.

The previous prime is 13411956097. The next prime is 13411956109. The reversal of 13411956100 is 165911431.

The square root of 13411956100 is 115810.

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

13411956100 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 13 ways, for example, as 11443436676 + 1968519424 = 106974^2 + 44368^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13411956109) 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 26 ways as a sum of consecutive naturals, for example, 42849544 + ... + 42849856.

Almost surely, 2^13411956100 is an apocalyptic number.

13411956100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13411956100 is the 115810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13411956100

13411956100 is an abundant number, since it is smaller than the sum of its proper divisors (16595711177).

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

13411956100 is an equidigital number, since it uses as much as digits as its factorization.

13411956100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 31.

The spelling of 13411956100 in words is "thirteen billion, four hundred eleven million, nine hundred fifty-six thousand, one hundred".