131114141334012 has 24 divisors (see below), whose sum is σ = 305951372370000. Its totient is φ = 43702088646016.

The previous prime is 131114141333963. The next prime is 131114141334013. The reversal of 131114141334012 is 210433141411131.

It is a happy number.

It is a super-2 number, since 2×131114141334012² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131114141334013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 327933387 + ... + 328332962.

It is an arithmetic number, because the mean of its divisors is an integer number (12747973848750).

Almost surely, 2^{131114141334012} is an apocalyptic number.

131114141334012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131114141334012 is an abundant number, since it is smaller than the sum of its proper divisors (174837231035988).

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

131114141334012 is a wasteful number, since it uses less digits than its factorization.

131114141334012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656283005 (or 656283003 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 131114141334012 its reverse (210433141411131), we get a palindrome (341547282745143).

The spelling of 131114141334012 in words is "one hundred thirty-one trillion, one hundred fourteen billion, one hundred forty-one million, three hundred thirty-four thousand, twelve".