131214121312344 has 48 divisors (see below), whose sum is σ = 381592087493400. Its totient is φ = 37489748946048.

The previous prime is 131214121312327. The next prime is 131214121312387. The reversal of 131214121312344 is 443213121412131.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55788315709 + ... + 55788318060.

Almost surely, 2^{131214121312344} is an apocalyptic number.

131214121312344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131214121312344 is an abundant number, since it is smaller than the sum of its proper divisors (250377966181056).

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

131214121312344 is a wasteful number, since it uses less digits than its factorization.

131214121312344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111576633792 (or 111576633781 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

Adding to 131214121312344 its reverse (443213121412131), we get a palindrome (574427242724475).

The spelling of 131214121312344 in words is "one hundred thirty-one trillion, two hundred fourteen billion, one hundred twenty-one million, three hundred twelve thousand, three hundred forty-four".