413233342013 has 2 divisors, whose sum is σ = 413233342014. Its totient is φ = 413233342012.

The previous prime is 413233341953. The next prime is 413233342019. The reversal of 413233342013 is 310243332314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 390408779929 + 22824562084 = 624827^2 + 151078^2 .

It is a cyclic number.

It is not a de Polignac number, because 413233342013 - 2⁶ = 413233341949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413233342019) 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, 206616671006 + 206616671007.

It is an arithmetic number, because the mean of its divisors is an integer number (206616671007).

Almost surely, 2^413233342013 is an apocalyptic number.

It is an amenable number.

413233342013 is a deficient number, since it is larger than the sum of its proper divisors (1).

413233342013 is an equidigital number, since it uses as much as digits as its factorization.

413233342013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 413233342013 its reverse (310243332314), we get a palindrome (723476674327).

The spelling of 413233342013 in words is "four hundred thirteen billion, two hundred thirty-three million, three hundred forty-two thousand, thirteen".