131424131432214 has 72 divisors (see below), whose sum is σ = 292675678921080. Its totient is φ = 42621219124992.

The previous prime is 131424131432171. The next prime is 131424131432239. The reversal of 131424131432214 is 412234131424131.

131424131432214 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 2 + 4 + 1 + 3 + 1 + 432 + 214 = 666.

It is a super-3 number, since 3×131424131432214³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 389248782 + ... + 389586270.

It is an arithmetic number, because the mean of its divisors is an integer number (4064939985015).

Almost surely, 2^{131424131432214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131424131432214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146337839460540).

131424131432214 is an abundant number, since it is smaller than the sum of its proper divisors (161251547488866).

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

131424131432214 is a wasteful number, since it uses less digits than its factorization.

131424131432214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353374 (or 353334 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 131424131432214 its reverse (412234131424131), we get a palindrome (543658262856345).

The spelling of 131424131432214 in words is "one hundred thirty-one trillion, four hundred twenty-four billion, one hundred thirty-one million, four hundred thirty-two thousand, two hundred fourteen".