131142032343344 has 40 divisors (see below), whose sum is σ = 277191818112000. Its totient is φ = 59608885723200.

The previous prime is 131142032343341. The next prime is 131142032343409. The reversal of 131142032343344 is 443343230241131.

131142032343344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131142032343344² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131142032343298 and 131142032343307.

It is not an unprimeable number, because it can be changed into a prime (131142032343341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2298209 + ... + 16357439.

It is an arithmetic number, because the mean of its divisors is an integer number (6929795452800).

Almost surely, 2^{131142032343344} is an apocalyptic number.

It is an amenable number.

131142032343344 is an abundant number, since it is smaller than the sum of its proper divisors (146049785768656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131142032343344 is a wasteful number, since it uses less digits than its factorization.

131142032343344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14112249 (or 14112243 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 38.

Adding to 131142032343344 its reverse (443343230241131), we get a palindrome (574485262584475).

The spelling of 131142032343344 in words is "one hundred thirty-one trillion, one hundred forty-two billion, thirty-two million, three hundred forty-three thousand, three hundred forty-four".