13000863360241 has 3 divisors (see below), whose sum is σ = 13000866965913. Its totient is φ = 13000859754570.

The previous prime is 13000863360239. The next prime is 13000863360257. The reversal of 13000863360241 is 14206336800031.

The square root of 13000863360241 is 3605671.

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.

It is not a de Polignac number, because 13000863360241 - 2¹ = 13000863360239 is a prime.

It is a super-2 number, since 2×13000863360241² (a number of 27 digits) contains 22 as substring.

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 13000863360241.

It is not an unprimeable number, because it can be changed into a prime (13000863360211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1802836 + ... + 5408506.

It is an arithmetic number, because the mean of its divisors is an integer number (4333622321971).

Almost surely, 2^{13000863360241} is an apocalyptic number.

13000863360241 is the 3605671-st square number.

13000863360241 is the 1802836-th centered octagonal number.

It is an amenable number.

13000863360241 is a deficient number, since it is larger than the sum of its proper divisors (3605672).

13000863360241 is an frugal number, since it uses more digits than its factorization.

13000863360241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7211342 (or 3605671 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 13000863360241 in words is "thirteen trillion, eight hundred sixty-three million, three hundred sixty thousand, two hundred forty-one".