131142114231440 has 80 divisors (see below), whose sum is σ = 328571664078000. Its totient is φ = 48390443145216.

The previous prime is 131142114231431. The next prime is 131142114231449. The reversal of 131142114231440 is 44132411241131.

It is an interprime number because it is at equal distance from previous prime (131142114231431) and next prime (131142114231449).

It can be written as a sum of positive squares in 8 ways, for example, as 27520138289296 + 103621975942144 = 5245964^2 + 10179488^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 131142114231397 and 131142114231406.

It is not an unprimeable number, because it can be changed into a prime (131142114231449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39092135 + ... + 42314054.

It is an arithmetic number, because the mean of its divisors is an integer number (4107145800975).

Almost surely, 2^{131142114231440} is an apocalyptic number.

131142114231440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131142114231440 is an abundant number, since it is smaller than the sum of its proper divisors (197429549846560).

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

131142114231440 is a wasteful number, since it uses less digits than its factorization.

131142114231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81407764 (or 81407758 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

Adding to 131142114231440 its reverse (44132411241131), we get a palindrome (175274525472571).

The spelling of 131142114231440 in words is "one hundred thirty-one trillion, one hundred forty-two billion, one hundred fourteen million, two hundred thirty-one thousand, four hundred forty".