13062781377009 has 189 divisors, whose sum is σ = 24686913233979. Its totient is φ = 6885574244640.

The previous prime is 13062781377007. The next prime is 13062781377011. The reversal of 13062781377009 is 90077318726031.

The square root of 13062781377009 is 3614247.

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

13062781377009 is a `hidden beast` number, since 1 + 3 + 0 + 627 + 8 + 1 + 3 + 7 + 7 + 0 + 0 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (13062781377007) and next prime (13062781377011).

It can be written as a sum of positive squares in only one way, i.e., 1932364109025 + 11130417267984 = 1390095^2 + 3336228^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 13062781377009 - 2¹ = 13062781377007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13062781377001) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 8880204144 + ... + 8880205614.

Almost surely, 2^{13062781377009} is an apocalyptic number.

13062781377009 is the 3614247-th square number.

13062781377009 is the 1807124-th centered octagonal number.

It is an amenable number.

13062781377009 is a deficient number, since it is larger than the sum of its proper divisors (11624131856970).

13062781377009 is an frugal number, since it uses more digits than its factorization.

13062781377009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 13062781377009 in words is "thirteen trillion, sixty-two billion, seven hundred eighty-one million, three hundred seventy-seven thousand, nine".