413112400401133 has 2 divisors, whose sum is σ = 413112400401134. Its totient is φ = 413112400401132.

The previous prime is 413112400401119. The next prime is 413112400401149. The reversal of 413112400401133 is 331104004211314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 328835355257124 + 84277045144009 = 18133818^2 + 9180253^2 .

It is a cyclic number.

It is not a de Polignac number, because 413112400401133 - 2¹³ = 413112400392941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413112400201133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206556200200566 + 206556200200567.

It is an arithmetic number, because the mean of its divisors is an integer number (206556200200567).

Almost surely, 2^{413112400401133} is an apocalyptic number.

It is an amenable number.

413112400401133 is a deficient number, since it is larger than the sum of its proper divisors (1).

413112400401133 is an equidigital number, since it uses as much as digits as its factorization.

413112400401133 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 28.

Adding to 413112400401133 its reverse (331104004211314), we get a palindrome (744216404612447).

The spelling of 413112400401133 in words is "four hundred thirteen trillion, one hundred twelve billion, four hundred million, four hundred one thousand, one hundred thirty-three".