4131132337 has 2 divisors, whose sum is σ = 4131132338. Its totient is φ = 4131132336.

The previous prime is 4131132319. The next prime is 4131132349. The reversal of 4131132337 is 7332311314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3018843136 + 1112289201 = 54944^2 + 33351^2 .

It is a cyclic number.

It is not a de Polignac number, because 4131132337 - 2²⁷ = 3996914609 is a prime.

It is not a weakly prime, because it can be changed into another prime (4131132307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2065566168 + 2065566169.

It is an arithmetic number, because the mean of its divisors is an integer number (2065566169).

Almost surely, 2^4131132337 is an apocalyptic number.

It is an amenable number.

4131132337 is a deficient number, since it is larger than the sum of its proper divisors (1).

4131132337 is an equidigital number, since it uses as much as digits as its factorization.

4131132337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4536, while the sum is 28.

The square root of 4131132337 is about 64273.8853423379. The cubic root of 4131132337 is about 1604.5615061022.

The spelling of 4131132337 in words is "four billion, one hundred thirty-one million, one hundred thirty-two thousand, three hundred thirty-seven".