13142433424131 has 48 divisors (see below), whose sum is σ = 20764371719520. Its totient is φ = 7943947292160.

The previous prime is 13142433424117. The next prime is 13142433424151.

13142433424131 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 243 + 342 + 41 + 31 = 666.

13142433424131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13142433424131 - 2²² = 13142429229827 is a prime.

It is a super-2 number, since 2×13142433424131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13142433424151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73128375 + ... + 73307871.

It is an arithmetic number, because the mean of its divisors is an integer number (432591077490).

Almost surely, 2^{13142433424131} is an apocalyptic number.

13142433424131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13142433424131 is a deficient number, since it is larger than the sum of its proper divisors (7621938295389).

13142433424131 is a wasteful number, since it uses less digits than its factorization.

13142433424131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181476 (or 181473 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 1314243 and 3424131, that added together give a palindrome (4738374).

The spelling of 13142433424131 in words is "thirteen trillion, one hundred forty-two billion, four hundred thirty-three million, four hundred twenty-four thousand, one hundred thirty-one".