12364131102401 has 64 divisors (see below), whose sum is σ = 14442816326400. Its totient is φ = 10482917253120.

The previous prime is 12364131102391. The next prime is 12364131102403. The reversal of 12364131102401 is 10420113146321.

It is a de Polignac number, because none of the positive numbers 2^k-12364131102401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12364131102403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 737576246 + ... + 737593008.

It is an arithmetic number, because the mean of its divisors is an integer number (225669005100).

Almost surely, 2^{12364131102401} is an apocalyptic number.

It is an amenable number.

12364131102401 is a deficient number, since it is larger than the sum of its proper divisors (2078685223999).

12364131102401 is a wasteful number, since it uses less digits than its factorization.

12364131102401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17346.

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 12364131102401 its reverse (10420113146321), we get a palindrome (22784244248722).

The spelling of 12364131102401 in words is "twelve trillion, three hundred sixty-four billion, one hundred thirty-one million, one hundred two thousand, four hundred one".