413300142413 has 2 divisors, whose sum is σ = 413300142414. Its totient is φ = 413300142412.

The previous prime is 413300142379. The next prime is 413300142427. The reversal of 413300142413 is 314241003314.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 410825875849 + 2474266564 = 640957^2 + 49742^2 .

It is a cyclic number.

It is not a de Polignac number, because 413300142413 - 2¹⁶ = 413300076877 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413300142613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206650071206 + 206650071207.

It is an arithmetic number, because the mean of its divisors is an integer number (206650071207).

Almost surely, 2^413300142413 is an apocalyptic number.

It is an amenable number.

413300142413 is a deficient number, since it is larger than the sum of its proper divisors (1).

413300142413 is an equidigital number, since it uses as much as digits as its factorization.

413300142413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 413300142413 its reverse (314241003314), we get a palindrome (727541145727).

The spelling of 413300142413 in words is "four hundred thirteen billion, three hundred million, one hundred forty-two thousand, four hundred thirteen".