13003068961 has 3 divisors (see below), whose sum is σ = 13003182993. Its totient is φ = 13002954930.

The previous prime is 13003068937. The next prime is 13003068973. The reversal of 13003068961 is 16986030031.

The square root of 13003068961 is 114031.

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

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: 16986030031 = 727 ⋅23364553.

It is not a de Polignac number, because 13003068961 - 2¹⁷ = 13002937889 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13003068961.

It is not an unprimeable number, because it can be changed into a prime (13003068901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 57016 + ... + 171046.

It is an arithmetic number, because the mean of its divisors is an integer number (4334394331).

Almost surely, 2^13003068961 is an apocalyptic number.

13003068961 is the 114031-st square number.

13003068961 is the 57016-th centered octagonal number.

It is an amenable number.

13003068961 is a deficient number, since it is larger than the sum of its proper divisors (114032).

13003068961 is an frugal number, since it uses more digits than its factorization.

13003068961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228062 (or 114031 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

Adding to 13003068961 its reverse (16986030031), we get a palindrome (29989098992).

The spelling of 13003068961 in words is "thirteen billion, three million, sixty-eight thousand, nine hundred sixty-one".