13281658648801 has 9 divisors (see below), whose sum is σ = 13755549034201. Its totient is φ = 12823568376304.

The previous prime is 13281658648781. The next prime is 13281658648837. The reversal of 13281658648801 is 10884685618231.

The square root of 13281658648801 is 3644401.

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

It can be written as a sum of positive squares in 4 ways, for example, as 419967506401 + 12861691142400 = 648049^2 + 3586320^2 .

It is not a de Polignac number, because 13281658648801 - 2⁷ = 13281658648673 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 13281658648801.

It is not an unprimeable number, because it can be changed into a prime (13281658648001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 105624795 + ... + 105750463.

Almost surely, 2^{13281658648801} is an apocalyptic number.

13281658648801 is the 3644401-st square number.

13281658648801 is the 1822201-st centered octagonal number.

It is an amenable number.

13281658648801 is a deficient number, since it is larger than the sum of its proper divisors (473890385400).

13281658648801 is an frugal number, since it uses more digits than its factorization.

13281658648801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251396 (or 125698 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 61.

The spelling of 13281658648801 in words is "thirteen trillion, two hundred eighty-one billion, six hundred fifty-eight million, six hundred forty-eight thousand, eight hundred one".