413133133141 has 2 divisors, whose sum is σ = 413133133142. Its totient is φ = 413133133140.

The previous prime is 413133133129. The next prime is 413133133157. The reversal of 413133133141 is 141331331314.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 241625334916 + 171507798225 = 491554^2 + 414135^2 .

It is a cyclic number.

It is not a de Polignac number, because 413133133141 - 2¹³ = 413133124949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413133133241) 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, 206566566570 + 206566566571.

It is an arithmetic number, because the mean of its divisors is an integer number (206566566571).

Almost surely, 2^413133133141 is an apocalyptic number.

It is an amenable number.

413133133141 is a deficient number, since it is larger than the sum of its proper divisors (1).

413133133141 is an equidigital number, since it uses as much as digits as its factorization.

413133133141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 28.

Adding to 413133133141 its reverse (141331331314), we get a palindrome (554464464455).

The spelling of 413133133141 in words is "four hundred thirteen billion, one hundred thirty-three million, one hundred thirty-three thousand, one hundred forty-one".