131414143141212 has 96 divisors (see below), whose sum is σ = 321085316901888. Its totient is φ = 41753620406784.

The previous prime is 131414143141159. The next prime is 131414143141217. The reversal of 131414143141212 is 212141341414131.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131414143141217) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 125383528 + ... + 126427280.

It is an arithmetic number, because the mean of its divisors is an integer number (3344638717728).

Almost surely, 2^{131414143141212} is an apocalyptic number.

131414143141212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131414143141212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160542658450944).

131414143141212 is an abundant number, since it is smaller than the sum of its proper divisors (189671173760676).

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

131414143141212 is a wasteful number, since it uses less digits than its factorization.

131414143141212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045379 (or 1045377 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

Adding to 131414143141212 its reverse (212141341414131), we get a palindrome (343555484555343).

The spelling of 131414143141212 in words is "one hundred thirty-one trillion, four hundred fourteen billion, one hundred forty-three million, one hundred forty-one thousand, two hundred twelve".