13144314131 has 16 divisors (see below), whose sum is σ = 14637811104. Its totient is φ = 11726567424.

The previous prime is 13144314103. The next prime is 13144314187. The reversal of 13144314131 is 13141344131.

13144314131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13144314131 - 2⁶ = 13144314067 is a prime.

It is a super-2 number, since 2×13144314131² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13144314131.

It is not an unprimeable number, because it can be changed into a prime (13144314431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96206 + ... + 188531.

It is an arithmetic number, because the mean of its divisors is an integer number (914863194).

Almost surely, 2^13144314131 is an apocalyptic number.

13144314131 is a deficient number, since it is larger than the sum of its proper divisors (1493496973).

13144314131 is a wasteful number, since it uses less digits than its factorization.

13144314131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284870.

The product of its digits is 1728, while the sum is 26.

Adding to 13144314131 its reverse (13141344131), we get a palindrome (26285658262).

The spelling of 13144314131 in words is "thirteen billion, one hundred forty-four million, three hundred fourteen thousand, one hundred thirty-one".