403138013 has 2 divisors, whose sum is σ = 403138014. Its totient is φ = 403138012.

The previous prime is 403138003. The next prime is 403138031. The reversal of 403138013 is 310831304.

403138013 = 14197² + 14198².

It is a happy number.

Together with next prime (403138031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 201583204 + 201554809 = 14198^2 + 14197^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-403138013 is a prime.

It is a super-3 number, since 3×403138013³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 403138013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (403138003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 201569006 + 201569007.

It is an arithmetic number, because the mean of its divisors is an integer number (201569007).

Almost surely, 2^403138013 is an apocalyptic number.

403138013 is the 14198-th centered square number.

It is an amenable number.

403138013 is a deficient number, since it is larger than the sum of its proper divisors (1).

403138013 is an equidigital number, since it uses as much as digits as its factorization.

403138013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 403138013 is about 20078.2970642433. The cubic root of 403138013 is about 738.7280395402.

Adding to 403138013 its reverse (310831304), we get a palindrome (713969317).

The spelling of 403138013 in words is "four hundred three million, one hundred thirty-eight thousand, thirteen".