132131320213113 has 12 divisors (see below), whose sum is σ = 205537609220580. Its totient is φ = 81311581669536.

The previous prime is 132131320213093. The next prime is 132131320213127. The reversal of 132131320213113 is 311312023131231.

132131320213113 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 3 + 1 + 320 + 21 + 311 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12039595315344 + 120091724897769 = 3469812^2 + 10958637^2 .

It is not a de Polignac number, because 132131320213113 - 2³⁴ = 132114140343929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132131320213133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 564663761478 + ... + 564663761711.

It is an arithmetic number, because the mean of its divisors is an integer number (17128134101715).

Almost surely, 2^{132131320213113} is an apocalyptic number.

132131320213113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132131320213113 is a deficient number, since it is larger than the sum of its proper divisors (73406289007467).

132131320213113 is a wasteful number, since it uses less digits than its factorization.

132131320213113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129327523208 (or 1129327523205 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 132131320213113 its reverse (311312023131231), we get a palindrome (443443343344344).

The spelling of 132131320213113 in words is "one hundred thirty-two trillion, one hundred thirty-one billion, three hundred twenty million, two hundred thirteen thousand, one hundred thirteen".