131946113 has 16 divisors (see below), whose sum is σ = 144870096. Its totient is φ = 119439360.

The previous prime is 131946083. The next prime is 131946121. The reversal of 131946113 is 311649131.

It can be written as a sum of positive squares in 8 ways, for example, as 1803649 + 130142464 = 1343^2 + 11408^2 .

It is a cyclic number.

It is not a de Polignac number, because 131946113 - 2⁶ = 131946049 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131946313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243623 + ... + 244163.

It is an arithmetic number, because the mean of its divisors is an integer number (9054381).

Almost surely, 2^131946113 is an apocalyptic number.

131946113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131946113 is a deficient number, since it is larger than the sum of its proper divisors (12923983).

131946113 is a wasteful number, since it uses less digits than its factorization.

131946113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884.

The product of its digits is 1944, while the sum is 29.

The square root of 131946113 is about 11486.7799230246. The cubic root of 131946113 is about 509.0950413268.

The spelling of 131946113 in words is "one hundred thirty-one million, nine hundred forty-six thousand, one hundred thirteen".