131106321 has 24 divisors (see below), whose sum is σ = 192830976. Its totient is φ = 85821120.

The previous prime is 131106317. The next prime is 131106379. The reversal of 131106321 is 123601131.

131106321 is a `hidden beast` number, since 1 + 31 + 1 + 0 + 632 + 1 = 666.

It is not a de Polignac number, because 131106321 - 2² = 131106317 is a prime.

It is a super-3 number, since 3×131106321³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131106294 and 131106303.

It is not an unprimeable number, because it can be changed into a prime (131106221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282936 + ... + 283398.

It is an arithmetic number, because the mean of its divisors is an integer number (8034624).

Almost surely, 2^131106321 is an apocalyptic number.

It is an amenable number.

131106321 is a deficient number, since it is larger than the sum of its proper divisors (61724655).

131106321 is a wasteful number, since it uses less digits than its factorization.

131106321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 131106321 is about 11450.1668546795. The cubic root of 131106321 is about 508.0126696677.

Adding to 131106321 its reverse (123601131), we get a palindrome (254707452).

The spelling of 131106321 in words is "one hundred thirty-one million, one hundred six thousand, three hundred twenty-one".