413205413021133 has 32 divisors (see below), whose sum is σ = 588946619520000. Its totient is φ = 256788201501696.

The previous prime is 413205413021083. The next prime is 413205413021143. The reversal of 413205413021133 is 331120314502314.

It is not a de Polignac number, because 413205413021133 - 2⁶ = 413205413021069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413205413021094 and 413205413021103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413205413021143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75250941 + ... + 80555042.

It is an arithmetic number, because the mean of its divisors is an integer number (18404581860000).

Almost surely, 2^{413205413021133} is an apocalyptic number.

It is an amenable number.

413205413021133 is a deficient number, since it is larger than the sum of its proper divisors (175741206498867).

413205413021133 is a wasteful number, since it uses less digits than its factorization.

413205413021133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155806501.

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 413205413021133 its reverse (331120314502314), we get a palindrome (744325727523447).

The spelling of 413205413021133 in words is "four hundred thirteen trillion, two hundred five billion, four hundred thirteen million, twenty-one thousand, one hundred thirty-three".