132126313 has 12 divisors (see below), whose sum is σ = 148777524. Its totient is φ = 117180800.

The previous prime is 132126307. The next prime is 132126317. The reversal of 132126313 is 313621231.

It can be written as a sum of positive squares in 2 ways, for example, as 74183769 + 57942544 = 8613^2 + 7612^2 .

It is not a de Polignac number, because 132126313 - 2⁹ = 132125801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132126317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8356 + ... + 18277.

It is an arithmetic number, because the mean of its divisors is an integer number (12398127).

Almost surely, 2^132126313 is an apocalyptic number.

It is an amenable number.

132126313 is a deficient number, since it is larger than the sum of its proper divisors (16651211).

132126313 is a wasteful number, since it uses less digits than its factorization.

132126313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26696 (or 26685 counting only the distinct ones).

The product of its digits is 648, while the sum is 22.

The square root of 132126313 is about 11494.6210463851. The cubic root of 132126313 is about 509.3266944695.

Adding to 132126313 its reverse (313621231), we get a palindrome (445747544).

The spelling of 132126313 in words is "one hundred thirty-two million, one hundred twenty-six thousand, three hundred thirteen".