131330414341305 has 96 divisors (see below), whose sum is σ = 253775498221440. Its totient is φ = 62438387189760.

The previous prime is 131330414341277. The next prime is 131330414341367. The reversal of 131330414341305 is 503143414033131.

131330414341305 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 3 + 0 + 4 + 1 + 4 + 341 + 305 = 666.

It is not a de Polignac number, because 131330414341305 - 2⁹ = 131330414340793 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131330414341305.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60755110 + ... + 62879600.

It is an arithmetic number, because the mean of its divisors is an integer number (2643494773140).

Almost surely, 2^{131330414341305} is an apocalyptic number.

131330414341305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131330414341305 is a deficient number, since it is larger than the sum of its proper divisors (122445083880135).

131330414341305 is a wasteful number, since it uses less digits than its factorization.

131330414341305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128791 (or 2128788 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 131330414341305 its reverse (503143414033131), we get a palindrome (634473828374436).

The spelling of 131330414341305 in words is "one hundred thirty-one trillion, three hundred thirty billion, four hundred fourteen million, three hundred forty-one thousand, three hundred five".