4131313 has 2 divisors, whose sum is σ = 4131314. Its totient is φ = 4131312.

The previous prime is 4131307. The next prime is 4131317. The reversal of 4131313 is 3131314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3908529 + 222784 = 1977^2 + 472^2 .

It is a cyclic number.

It is not a de Polignac number, because 4131313 - 2¹³ = 4123121 is a prime.

4131313 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (4131317) 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 as a sum of consecutive naturals, namely, 2065656 + 2065657.

It is an arithmetic number, because the mean of its divisors is an integer number (2065657).

Almost surely, 2^4131313 is an apocalyptic number.

It is an amenable number.

4131313 is a deficient number, since it is larger than the sum of its proper divisors (1).

4131313 is an equidigital number, since it uses as much as digits as its factorization.

4131313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 108, while the sum is 16.

The square root of 4131313 is about 2032.5631601503. The cubic root of 4131313 is about 160.4584896031.

Adding to 4131313 its reverse (3131314), we get a palindrome (7262627).

Subtracting from 4131313 its reverse (3131314), we obtain a palindrome (999999).

It can be divided in two parts, 4131 and 313, that added together give a palindrome (4444).

The spelling of 4131313 in words is "four million, one hundred thirty-one thousand, three hundred thirteen".