13353002314401 has 32 divisors (see below), whose sum is σ = 18612766656000. Its totient is φ = 8504333607168.

The previous prime is 13353002314313. The next prime is 13353002314427. The reversal of 13353002314401 is 10441320035331.

It is a happy number.

It is not a de Polignac number, because 13353002314401 - 2²⁵ = 13352968759969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13353002314471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5839071 + ... + 7797483.

It is an arithmetic number, because the mean of its divisors is an integer number (581648958000).

Almost surely, 2^{13353002314401} is an apocalyptic number.

It is an amenable number.

13353002314401 is a deficient number, since it is larger than the sum of its proper divisors (5259764341599).

13353002314401 is a wasteful number, since it uses less digits than its factorization.

13353002314401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959273.

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 13353002314401 its reverse (10441320035331), we get a palindrome (23794322349732).

The spelling of 13353002314401 in words is "thirteen trillion, three hundred fifty-three billion, two million, three hundred fourteen thousand, four hundred one".