13141133114131 has 16 divisors (see below), whose sum is σ = 15190553719008. Its totient is φ = 11235238502400.

The previous prime is 13141133114051. The next prime is 13141133114147.

13141133114131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13141133114131 - 2¹¹ = 13141133112083 is a prime.

It is a super-2 number, since 2×13141133114131² (a number of 27 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 13141133114131.

It is not an unprimeable number, because it can be changed into a prime (13141133117131) 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 15 ways as a sum of consecutive naturals, for example, 26351550 + ... + 26845603.

It is an arithmetic number, because the mean of its divisors is an integer number (949409607438).

Almost surely, 2^{13141133114131} is an apocalyptic number.

13141133114131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13141133114131 is a deficient number, since it is larger than the sum of its proper divisors (2049420604877).

13141133114131 is a wasteful number, since it uses less digits than its factorization.

13141133114131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53198502.

The product of its digits is 1296, while the sum is 28.

It can be divided in two parts, 1314113 and 3114131, that added together give a palindrome (4428244).

The spelling of 13141133114131 in words is "thirteen trillion, one hundred forty-one billion, one hundred thirty-three million, one hundred fourteen thousand, one hundred thirty-one".