13002311011201 has 16 divisors (see below), whose sum is σ = 13151582466048. Its totient is φ = 12853802304000.

The previous prime is 13002311011199. The next prime is 13002311011223. The reversal of 13002311011201 is 10211011320031.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 13002311011201 - 2¹ = 13002311011199 is a prime.

It is a super-2 number, since 2×13002311011201² (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 (13002312011201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111836901 + ... + 111953101.

It is an arithmetic number, because the mean of its divisors is an integer number (821973904128).

Almost surely, 2^{13002311011201} is an apocalyptic number.

It is an amenable number.

13002311011201 is a deficient number, since it is larger than the sum of its proper divisors (149271454847).

13002311011201 is a wasteful number, since it uses less digits than its factorization.

13002311011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119472.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 13002311011201 its reverse (10211011320031), we get a palindrome (23213322331232).

The spelling of 13002311011201 in words is "thirteen trillion, two billion, three hundred eleven million, eleven thousand, two hundred one".