131413320012321 has 6 divisors (see below), whose sum is σ = 189819240017810. Its totient is φ = 87608880008208.

The previous prime is 131413320012311. The next prime is 131413320012361. The reversal of 131413320012321 is 123210023314131.

131413320012321 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 1 + 3 + 320 + 0 + 12 + 321 = 666.

It can be written as a sum of positive squares in only one way, i.e., 128404274696721 + 3009045315600 = 11331561^2 + 1734660^2 .

It is not a de Polignac number, because 131413320012321 - 2²² = 131413315818017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131413320012311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7300740000676 + ... + 7300740000693.

Almost surely, 2^{131413320012321} is an apocalyptic number.

It is an amenable number.

131413320012321 is a deficient number, since it is larger than the sum of its proper divisors (58405920005489).

131413320012321 is a wasteful number, since it uses less digits than its factorization.

131413320012321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14601480001375 (or 14601480001372 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 131413320012321 its reverse (123210023314131), we get a palindrome (254623343326452).

The spelling of 131413320012321 in words is "one hundred thirty-one trillion, four hundred thirteen billion, three hundred twenty million, twelve thousand, three hundred twenty-one".