13504441514013 has 96 divisors (see below), whose sum is σ = 21987157570560. Its totient is φ = 8249399562240.

The previous prime is 13504441514009. The next prime is 13504441514027. The reversal of 13504441514013 is 31041514440531.

13504441514013 is a `hidden beast` number, since 1 + 3 + 50 + 44 + 41 + 514 + 0 + 13 = 666.

It is not a de Polignac number, because 13504441514013 - 2² = 13504441514009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13504441514033) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81045481 + ... + 81211937.

It is an arithmetic number, because the mean of its divisors is an integer number (229032891360).

Almost surely, 2^{13504441514013} is an apocalyptic number.

It is an amenable number.

13504441514013 is a deficient number, since it is larger than the sum of its proper divisors (8482716056547).

13504441514013 is a wasteful number, since it uses less digits than its factorization.

13504441514013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167009 (or 166997 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 13504441514013 its reverse (31041514440531), we get a palindrome (44545955954544).

The spelling of 13504441514013 in words is "thirteen trillion, five hundred four billion, four hundred forty-one million, five hundred fourteen thousand, thirteen".