13114120440213 has 96 divisors (see below), whose sum is σ = 20863680364800. Its totient is φ = 7887905805312.

The previous prime is 13114120440199. The next prime is 13114120440299. The reversal of 13114120440213 is 31204402141131.

It is a happy number.

13114120440213 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 4 + 1 + 2 + 0 + 440 + 213 = 666.

It is not a de Polignac number, because 13114120440213 - 2⁵ = 13114120440181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13114120445213) 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, 2127876270 + ... + 2127882432.

It is an arithmetic number, because the mean of its divisors is an integer number (217330003800).

Almost surely, 2^{13114120440213} is an apocalyptic number.

13114120440213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13114120440213 is a deficient number, since it is larger than the sum of its proper divisors (7749559924587).

13114120440213 is a wasteful number, since it uses less digits than its factorization.

13114120440213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7483 (or 7480 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 13114120440213 its reverse (31204402141131), we get a palindrome (44318522581344).

The spelling of 13114120440213 in words is "thirteen trillion, one hundred fourteen billion, one hundred twenty million, four hundred forty thousand, two hundred thirteen".