131413330011340 has 96 divisors (see below), whose sum is σ = 314889786671040. Its totient is φ = 45636946477056.

The previous prime is 131413330011277. The next prime is 131413330011347. The reversal of 131413330011340 is 43110033314131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131413330011299 and 131413330011308.

It is not an unprimeable number, because it can be changed into a prime (131413330011347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3402342 + ... + 16565101.

It is an arithmetic number, because the mean of its divisors is an integer number (3280101944490).

Almost surely, 2^{131413330011340} is an apocalyptic number.

131413330011340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131413330011340 is an abundant number, since it is smaller than the sum of its proper divisors (183476456659700).

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

131413330011340 is a wasteful number, since it uses less digits than its factorization.

131413330011340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19968971 (or 19968969 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 131413330011340 its reverse (43110033314131), we get a palindrome (174523363325471).

The spelling of 131413330011340 in words is "one hundred thirty-one trillion, four hundred thirteen billion, three hundred thirty million, eleven thousand, three hundred forty".