13145566554131 has 32 divisors (see below), whose sum is σ = 14748775888896. Its totient is φ = 11612725056000.

The previous prime is 13145566554097. The next prime is 13145566554173.

It is a happy number.

13145566554131 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13145566554131 - 2³⁰ = 13144492812307 is a prime.

It is a super-2 number, since 2×13145566554131² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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 13145566554131.

It is not an unprimeable number, because it can be changed into a prime (13145566550131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 497792930 + ... + 497819336.

It is an arithmetic number, because the mean of its divisors is an integer number (460899246528).

Almost surely, 2^{13145566554131} is an apocalyptic number.

13145566554131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13145566554131 is a deficient number, since it is larger than the sum of its proper divisors (1603209334765).

13145566554131 is a wasteful number, since it uses less digits than its factorization.

13145566554131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30803.

The product of its digits is 3240000, while the sum is 50.

It can be divided in two parts, 1314556 and 6554131, that added together give a palindrome (7868687).

The spelling of 13145566554131 in words is "thirteen trillion, one hundred forty-five billion, five hundred sixty-six million, five hundred fifty-four thousand, one hundred thirty-one".