131011120342144 has 64 divisors (see below), whose sum is σ = 298359904314240. Its totient is φ = 56133381666816.

The previous prime is 131011120342129. The next prime is 131011120342147. The reversal of 131011120342144 is 441243021110131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (131011120342147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15008509 + ... + 22074364.

It is an arithmetic number, because the mean of its divisors is an integer number (4661873504910).

Almost surely, 2^{131011120342144} is an apocalyptic number.

131011120342144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131011120342144 is an abundant number, since it is smaller than the sum of its proper divisors (167348783972096).

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

131011120342144 is an equidigital number, since it uses as much as digits as its factorization.

131011120342144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37086837 (or 37086825 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 131011120342144 its reverse (441243021110131), we get a palindrome (572254141452275).

The spelling of 131011120342144 in words is "one hundred thirty-one trillion, eleven billion, one hundred twenty million, three hundred forty-two thousand, one hundred forty-four".