13005349681 has 3 divisors (see below), whose sum is σ = 13005463723. Its totient is φ = 13005235640.

The previous prime is 13005349663. The next prime is 13005349703. The reversal of 13005349681 is 18694350031.

The square root of 13005349681 is 114041.

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

13005349681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 18694350031 = 7 ⋅2670621433.

It can be written as a sum of positive squares in only one way, i.e., 1384509681 + 11620840000 = 37209^2 + 107800^2 .

It is a de Polignac number, because none of the positive numbers 2^k-13005349681 is a prime.

It is a super-2 number, since 2×13005349681² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13005349481) 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 2 ways as a sum of consecutive naturals, for example, 57021 + ... + 171061.

Almost surely, 2^13005349681 is an apocalyptic number.

13005349681 is the 114041-st square number.

13005349681 is the 57021-st centered octagonal number.

It is an amenable number.

13005349681 is a deficient number, since it is larger than the sum of its proper divisors (114042).

13005349681 is an frugal number, since it uses more digits than its factorization.

13005349681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228082 (or 114041 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 13005349681 in words is "thirteen billion, five million, three hundred forty-nine thousand, six hundred eighty-one".