13142044024131 has 16 divisors (see below), whose sum is σ = 19116194087808. Its totient is φ = 7964669462400.

The previous prime is 13142044024121. The next prime is 13142044024177.

It is a happy number.

13142044024131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13142044024131 - 2¹⁴ = 13142044007747 is a prime.

It is a super-2 number, since 2×13142044024131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13142044024121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3840550 + ... + 6405771.

It is an arithmetic number, because the mean of its divisors is an integer number (1194762130488).

Almost surely, 2^{13142044024131} is an apocalyptic number.

13142044024131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13142044024131 is a deficient number, since it is larger than the sum of its proper divisors (5974150063677).

13142044024131 is a wasteful number, since it uses less digits than its factorization.

13142044024131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10285202.

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 1314204 and 4024131, that added together give a palindrome (5338335).

The spelling of 13142044024131 in words is "thirteen trillion, one hundred forty-two billion, forty-four million, twenty-four thousand, one hundred thirty-one".