13315318584201 has 16 divisors (see below), whose sum is σ = 20098594091520. Its totient is φ = 8709390771120.

The previous prime is 13315318584179. The next prime is 13315318584209. The reversal of 13315318584201 is 10248581351331.

13315318584201 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 53 + 18 + 584 + 2 + 0 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-13315318584201 is a prime.

It is a super-3 number, since 3×13315318584201³ (a number of 40 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13315318584209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4652450905 + ... + 4652453766.

It is an arithmetic number, because the mean of its divisors is an integer number (1256162130720).

Almost surely, 2^{13315318584201} is an apocalyptic number.

It is an amenable number.

13315318584201 is a deficient number, since it is larger than the sum of its proper divisors (6783275507319).

13315318584201 is an equidigital number, since it uses as much as digits as its factorization.

13315318584201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9304904733 (or 9304904727 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 13315318584201 in words is "thirteen trillion, three hundred fifteen billion, three hundred eighteen million, five hundred eighty-four thousand, two hundred one".