131414131410000 has 200 divisors, whose sum is σ = 424243484253600. Its totient is φ = 35042021568000.

The previous prime is 131414131409983. The next prime is 131414131410017. The reversal of 131414131410000 is 14131414131.

It is an interprime number because it is at equal distance from previous prime (131414131409983) and next prime (131414131410017).

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 670371999 + ... + 670568001.

It is an arithmetic number, because the mean of its divisors is an integer number (2121217421268).

Almost surely, 2^{131414131410000} is an apocalyptic number.

131414131410000 is a gapful number since it is divisible by the number (10) 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 131414131410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212121742126800).

131414131410000 is an abundant number, since it is smaller than the sum of its proper divisors (292829352843600).

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

131414131410000 is a wasteful number, since it uses less digits than its factorization.

131414131410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218383 (or 218362 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 131414131410000 its reverse (14131414131), we get a palindrome (131428262824131).

The spelling of 131414131410000 in words is "one hundred thirty-one trillion, four hundred fourteen billion, one hundred thirty-one million, four hundred ten thousand".