131414114431000 has 128 divisors (see below), whose sum is σ = 313683003691200. Its totient is φ = 51518230579200.

The previous prime is 131414114430943. The next prime is 131414114431027. The reversal of 131414114431000 is 134411414131.

131414114431000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131414114431000² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131414114431000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8220816 + ... + 18177184.

Almost surely, 2^{131414114431000} is an apocalyptic number.

131414114431000 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 131414114431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156841501845600).

131414114431000 is an abundant number, since it is smaller than the sum of its proper divisors (182268889260200).

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

131414114431000 is a wasteful number, since it uses less digits than its factorization.

131414114431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9956654 (or 9956640 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 131414114431000 its reverse (134411414131), we get a palindrome (131548525845131).

The spelling of 131414114431000 in words is "one hundred thirty-one trillion, four hundred fourteen billion, one hundred fourteen million, four hundred thirty-one thousand".