13066776100 has 243 divisors, whose sum is σ = 34973211441. Its totient is φ = 4224897600.

The previous prime is 13066776089. The next prime is 13066776157. The reversal of 13066776100 is 167766031.

The square root of 13066776100 is 114310.

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., 4704039396 + 8362736704 = 68586^2 + 91448^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13066776100.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 184039065 + ... + 184039135.

Almost surely, 2^13066776100 is an apocalyptic number.

13066776100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13066776100 is the 114310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13066776100

13066776100 is an abundant number, since it is smaller than the sum of its proper divisors (21906435341).

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

13066776100 is a wasteful number, since it uses less digits than its factorization.

13066776100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The spelling of 13066776100 in words is "thirteen billion, sixty-six million, seven hundred seventy-six thousand, one hundred".