13144111144131 has 32 divisors (see below), whose sum is σ = 19433613240576. Its totient is φ = 7834937040000.

The previous prime is 13144111144091. The next prime is 13144111144133.

13144111144131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13144111144131 - 2¹¹ = 13144111142083 is a prime.

It is a super-2 number, since 2×13144111144131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13144111144133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26834145 + ... + 27319581.

It is an arithmetic number, because the mean of its divisors is an integer number (607300413768).

Almost surely, 2^{13144111144131} is an apocalyptic number.

13144111144131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13144111144131 is a deficient number, since it is larger than the sum of its proper divisors (6289502096445).

13144111144131 is a wasteful number, since it uses less digits than its factorization.

13144111144131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498963.

The product of its digits is 2304, while the sum is 30.

It can be divided in two parts, 1314411 and 1144131, that added together give a palindrome (2458542).

The spelling of 13144111144131 in words is "thirteen trillion, one hundred forty-four billion, one hundred eleven million, one hundred forty-four thousand, one hundred thirty-one".