131414121330000 has 200 divisors, whose sum is σ = 424820713231200. Its totient is φ = 34994332992000.

The previous prime is 131414121329999. The next prime is 131414121330047. The reversal of 131414121330000 is 33121414131.

It is a happy number.

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, 18180811 + ... + 24359189.

It is an arithmetic number, because the mean of its divisors is an integer number (2124103566156).

Almost surely, 2^{131414121330000} is an apocalyptic number.

131414121330000 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 131414121330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212410356615600).

131414121330000 is an abundant number, since it is smaller than the sum of its proper divisors (293406591901200).

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

131414121330000 is an equidigital number, since it uses as much as digits as its factorization.

131414121330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6179119 (or 6179098 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131414121330000 its reverse (33121414131), we get a palindrome (131447242744131).

The spelling of 131414121330000 in words is "one hundred thirty-one trillion, four hundred fourteen billion, one hundred twenty-one million, three hundred thirty thousand".