404311413313 has 2 divisors, whose sum is σ = 404311413314. Its totient is φ = 404311413312.

The previous prime is 404311413307. The next prime is 404311413343. The reversal of 404311413313 is 313314113404.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 267446191104 + 136865222209 = 517152^2 + 369953^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-404311413313 is a prime.

It is not a weakly prime, because it can be changed into another prime (404311413343) 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, 202155706656 + 202155706657.

It is an arithmetic number, because the mean of its divisors is an integer number (202155706657).

Almost surely, 2^404311413313 is an apocalyptic number.

It is an amenable number.

404311413313 is a deficient number, since it is larger than the sum of its proper divisors (1).

404311413313 is an equidigital number, since it uses as much as digits as its factorization.

404311413313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 404311413313 its reverse (313314113404), we get a palindrome (717625526717).

The spelling of 404311413313 in words is "four hundred four billion, three hundred eleven million, four hundred thirteen thousand, three hundred thirteen".