8113895280100 has 81 divisors (see below), whose sum is σ = 17674475195433. Its totient is φ = 3233195665440.

The previous prime is 8113895280047. The next prime is 8113895280107. The reversal of 8113895280100 is 10825983118.

The square root of 8113895280100 is 2848490.

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

It can be written as a sum of positive squares in only one way, i.e., 2921002300836 + 5192892979264 = 1709094^2 + 2278792^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8113895280107) 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, 12618810379 + ... + 12618811021.

Almost surely, 2^{8113895280100} is an apocalyptic number.

8113895280100 is the 2848490-th square number.

It is an amenable number.

8113895280100 is an abundant number, since it is smaller than the sum of its proper divisors (9560579915333).

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

8113895280100 is an frugal number, since it uses more digits than its factorization.

8113895280100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 46.

The spelling of 8113895280100 in words is "eight trillion, one hundred thirteen billion, eight hundred ninety-five million, two hundred eighty thousand, one hundred".