13208904576001 has 8 divisors (see below), whose sum is σ = 13690359817640. Its totient is φ = 12733999746048.

The previous prime is 13208904575959. The next prime is 13208904576113. The reversal of 13208904576001 is 10067540980231.

It can be written as a sum of positive squares in 4 ways, for example, as 1942302132225 + 11266602443776 = 1393665^2 + 3356576^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13208904576001 - 2¹³ = 13208904567809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13208904573001) 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 7 ways as a sum of consecutive naturals, for example, 1637598816 + ... + 1637606881.

It is an arithmetic number, because the mean of its divisors is an integer number (1711294977205).

It is a 1-persistent number, because it is pandigital, but 2⋅13208904576001 = 26417809152002 is not.

Almost surely, 2^{13208904576001} is an apocalyptic number.

It is an amenable number.

13208904576001 is a deficient number, since it is larger than the sum of its proper divisors (481455241639).

13208904576001 is a wasteful number, since it uses less digits than its factorization.

13208904576001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3275205843.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 13208904576001 in words is "thirteen trillion, two hundred eight billion, nine hundred four million, five hundred seventy-six thousand, one".