413241410133 has 12 divisors (see below), whose sum is σ = 597676460940. Its totient is φ = 275137872576.

The previous prime is 413241410129. The next prime is 413241410143. The reversal of 413241410133 is 331014142314.

413241410133 is a `hidden beast` number, since 4 + 1 + 3 + 241 + 410 + 1 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70616153169 + 342625256964 = 265737^2 + 585342^2 .

It is not a de Polignac number, because 413241410133 - 2² = 413241410129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413241410097 and 413241410106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413241410143) 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 in 11 ways as a sum of consecutive naturals, for example, 29692728 + ... + 29706641.

It is an arithmetic number, because the mean of its divisors is an integer number (49806371745).

Almost surely, 2^413241410133 is an apocalyptic number.

It is an amenable number.

413241410133 is a deficient number, since it is larger than the sum of its proper divisors (184435050807).

413241410133 is a wasteful number, since it uses less digits than its factorization.

413241410133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59400148 (or 59400145 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 413241410133 its reverse (331014142314), we get a palindrome (744255552447).

The spelling of 413241410133 in words is "four hundred thirteen billion, two hundred forty-one million, four hundred ten thousand, one hundred thirty-three".