413133013 has 2 divisors, whose sum is σ = 413133014. Its totient is φ = 413133012.

The previous prime is 413132983. The next prime is 413133029. The reversal of 413133013 is 310331314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 317445489 + 95687524 = 17817^2 + 9782^2 .

It is a cyclic number.

It is not a de Polignac number, because 413133013 - 2⁵ = 413132981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413133113) 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, 206566506 + 206566507.

It is an arithmetic number, because the mean of its divisors is an integer number (206566507).

Almost surely, 2^413133013 is an apocalyptic number.

It is an amenable number.

413133013 is a deficient number, since it is larger than the sum of its proper divisors (1).

413133013 is an equidigital number, since it uses as much as digits as its factorization.

413133013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 413133013 is about 20325.6737403708. The cubic root of 413133013 is about 744.7833629825.

Adding to 413133013 its reverse (310331314), we get a palindrome (723464327).

The spelling of 413133013 in words is "four hundred thirteen million, one hundred thirty-three thousand, thirteen".