4131031 has 2 divisors, whose sum is σ = 4131032. Its totient is φ = 4131030.

The previous prime is 4130977. The next prime is 4131047. The reversal of 4131031 is 1301314.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 4131031 - 2⁹ = 4130519 is a prime.

It is a super-2 number, since 2×4131031² = 34130834245922, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4131331) 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, 2065515 + 2065516.

It is an arithmetic number, because the mean of its divisors is an integer number (2065516).

Almost surely, 2^4131031 is an apocalyptic number.

4131031 is a deficient number, since it is larger than the sum of its proper divisors (1).

4131031 is an equidigital number, since it uses as much as digits as its factorization.

4131031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 4131031 is about 2032.4937884284. The cubic root of 4131031 is about 160.4548385988.

Adding to 4131031 its reverse (1301314), we get a palindrome (5432345).

It can be divided in two parts, 413 and 1031, that added together give a square (1444 = 38²).

The spelling of 4131031 in words is "four million, one hundred thirty-one thousand, thirty-one".