403131413 has 2 divisors, whose sum is σ = 403131414. Its totient is φ = 403131412.

The previous prime is 403131383. The next prime is 403131431. The reversal of 403131413 is 314131304.

Together with next prime (403131431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 403126084 + 5329 = 20078^2 + 73^2 .

It is a cyclic number.

It is not a de Polignac number, because 403131413 - 2¹⁴ = 403115029 is a prime.

It is a super-2 number, since 2×403131413² = 325029872294753138, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (403131433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 201565706 + 201565707.

It is an arithmetic number, because the mean of its divisors is an integer number (201565707).

Almost surely, 2^403131413 is an apocalyptic number.

It is an amenable number.

403131413 is a deficient number, since it is larger than the sum of its proper divisors (1).

403131413 is an equidigital number, since it uses as much as digits as its factorization.

403131413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 403131413 is about 20078.1327070024. The cubic root of 403131413 is about 738.7240081403.

Adding to 403131413 its reverse (314131304), we get a palindrome (717262717).

The spelling of 403131413 in words is "four hundred three million, one hundred thirty-one thousand, four hundred thirteen".