13201201122313 has 12 divisors (see below), whose sum is σ = 14024740421692. Its totient is φ = 12423491112960.

The previous prime is 13201201122259. The next prime is 13201201122331. The reversal of 13201201122313 is 31322110210231.

It can be written as a sum of positive squares in 6 ways, for example, as 336152965369 + 12865048156944 = 579787^2 + 3586788^2 .

It is a de Polignac number, because none of the positive numbers 2^k-13201201122313 is a prime.

It is a super-2 number, since 2×13201201122313² (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 (13201201122013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 936733 + ... + 5223013.

Almost surely, 2^{13201201122313} is an apocalyptic number.

It is an amenable number.

13201201122313 is a deficient number, since it is larger than the sum of its proper divisors (823539299379).

13201201122313 is a wasteful number, since it uses less digits than its factorization.

13201201122313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4296972 (or 4296955 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 13201201122313 its reverse (31322110210231), we get a palindrome (44523311332544).

The spelling of 13201201122313 in words is "thirteen trillion, two hundred one billion, two hundred one million, one hundred twenty-two thousand, three hundred thirteen".