13144414110113 has 16 divisors (see below), whose sum is σ = 15442685563200. Its totient is φ = 11030065462080.

The previous prime is 13144414110089. The next prime is 13144414110131. The reversal of 13144414110113 is 31101141444131.

It is a cyclic number.

It is not a de Polignac number, because 13144414110113 - 2⁶ = 13144414110049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13144414110143) 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, 6811958 + ... + 8525936.

It is an arithmetic number, because the mean of its divisors is an integer number (965167847700).

Almost surely, 2^{13144414110113} is an apocalyptic number.

13144414110113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13144414110113 is a deficient number, since it is larger than the sum of its proper divisors (2298271453087).

13144414110113 is a wasteful number, since it uses less digits than its factorization.

13144414110113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767632.

The product of its (nonzero) digits is 2304, while the sum is 29.

Adding to 13144414110113 its reverse (31101141444131), we get a palindrome (44245555554244).

The spelling of 13144414110113 in words is "thirteen trillion, one hundred forty-four billion, four hundred fourteen million, one hundred ten thousand, one hundred thirteen".