404031013 has 2 divisors, whose sum is σ = 404031014. Its totient is φ = 404031012.

The previous prime is 404031011. The next prime is 404031049. The reversal of 404031013 is 310130404.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 396886084 + 7144929 = 19922^2 + 2673^2 .

It is a cyclic number.

It is not a de Polignac number, because 404031013 - 2¹ = 404031011 is a prime.

Together with 404031011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (404031011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202015506 + 202015507.

It is an arithmetic number, because the mean of its divisors is an integer number (202015507).

Almost surely, 2^404031013 is an apocalyptic number.

It is an amenable number.

404031013 is a deficient number, since it is larger than the sum of its proper divisors (1).

404031013 is an equidigital number, since it uses as much as digits as its factorization.

404031013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 404031013 is about 20100.5227046463. The cubic root of 404031013 is about 739.2730949331.

Adding to 404031013 its reverse (310130404), we get a palindrome (714161417).

It can be divided in two parts, 4040 and 31013, that added together give a palindrome (35053).

The spelling of 404031013 in words is "four hundred four million, thirty-one thousand, thirteen".