413300110011013 has 2 divisors, whose sum is σ = 413300110011014. Its totient is φ = 413300110011012.

The previous prime is 413300110010959. The next prime is 413300110011037. The reversal of 413300110011013 is 310110011003314.

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., 330250005619524 + 83050104391489 = 18172782^2 + 9113183^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413300110011013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413300110011043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206650055005506 + 206650055005507.

It is an arithmetic number, because the mean of its divisors is an integer number (206650055005507).

Almost surely, 2^{413300110011013} is an apocalyptic number.

It is an amenable number.

413300110011013 is a deficient number, since it is larger than the sum of its proper divisors (1).

413300110011013 is an equidigital number, since it uses as much as digits as its factorization.

413300110011013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 413300110011013 its reverse (310110011003314), we get a palindrome (723410121014327).

The spelling of 413300110011013 in words is "four hundred thirteen trillion, three hundred billion, one hundred ten million, eleven thousand, thirteen".