131412332414340 has 144 divisors (see below), whose sum is σ = 400858682777280. Its totient is φ = 34846267572480.

The previous prime is 131412332414323. The next prime is 131412332414351. The reversal of 131412332414340 is 43414233214131.

131412332414340 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 1 + 233 + 2 + 414 + 3 + 4 + 0 = 666.

131412332414340 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 2×131412332414340² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 131412332414295 and 131412332414304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1210483342 + ... + 1210591898.

It is an arithmetic number, because the mean of its divisors is an integer number (2783740852620).

Almost surely, 2^{131412332414340} is an apocalyptic number.

131412332414340 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 131412332414340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200429341388640).

131412332414340 is an abundant number, since it is smaller than the sum of its proper divisors (269446350362940).

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

131412332414340 is a wasteful number, since it uses less digits than its factorization.

131412332414340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146322 (or 146317 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 131412332414340 its reverse (43414233214131), we get a palindrome (174826565628471).

The spelling of 131412332414340 in words is "one hundred thirty-one trillion, four hundred twelve billion, three hundred thirty-two million, four hundred fourteen thousand, three hundred forty".