13773828100 has 18 divisors (see below), whose sum is σ = 29889207194. Its totient is φ = 5509531200.

The previous prime is 13773828091. The next prime is 13773828143. The reversal of 13773828100 is 182837731.

13773828100 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 3 ways, for example, as 482505156 + 13291322944 = 21966^2 + 115288^2 .

It is a super-2 number, since 2×13773828100² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 68869041 + ... + 68869240.

Almost surely, 2^13773828100 is an apocalyptic number.

13773828100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13773828100 is an abundant number, since it is smaller than the sum of its proper divisors (16115379094).

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

13773828100 is a wasteful number, since it uses less digits than its factorization.

13773828100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137738295 (or 137738288 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The spelling of 13773828100 in words is "thirteen billion, seven hundred seventy-three million, eight hundred twenty-eight thousand, one hundred".