13007859302881 has 9 divisors (see below), whose sum is σ = 13037461170321. Its totient is φ = 12978324519732.

The previous prime is 13007859302849. The next prime is 13007859302887. The reversal of 13007859302881 is 18820395870031.

The square root of 13007859302881 is 3606641.

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

It is not a de Polignac number, because 13007859302881 - 2⁵ = 13007859302849 is a prime.

It is a super-2 number, since 2×13007859302881² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13007859302887) 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, 1684297486 + ... + 1684305208.

Almost surely, 2^{13007859302881} is an apocalyptic number.

13007859302881 is the 3606641-st square number.

13007859302881 is the 1803321-st centered octagonal number.

It is an amenable number.

13007859302881 is a deficient number, since it is larger than the sum of its proper divisors (29601867440).

13007859302881 is an frugal number, since it uses more digits than its factorization.

13007859302881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16380 (or 8190 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 55.

The spelling of 13007859302881 in words is "thirteen trillion, seven billion, eight hundred fifty-nine million, three hundred two thousand, eight hundred eighty-one".