131321113221312 has 168 divisors, whose sum is σ = 430186407799200. Its totient is φ = 37519834963968.

The previous prime is 131321113221299. The next prime is 131321113221317. The reversal of 131321113221312 is 213122311123131.

131321113221312 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 21 + 1 + 1 + 322 + 1 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (131321113221317) 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 23 ways as a sum of consecutive naturals, for example, 414851514 + ... + 415167942.

Almost surely, 2^{131321113221312} is an apocalyptic number.

131321113221312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131321113221312 is an abundant number, since it is smaller than the sum of its proper divisors (298865294577888).

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

131321113221312 is a wasteful number, since it uses less digits than its factorization.

131321113221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419383 (or 419370 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

Adding to 131321113221312 its reverse (213122311123131), we get a palindrome (344443424344443).

The spelling of 131321113221312 in words is "one hundred thirty-one trillion, three hundred twenty-one billion, one hundred thirteen million, two hundred twenty-one thousand, three hundred twelve".