405331133013 has 24 divisors (see below), whose sum is σ = 617399546400. Its totient is φ = 255538947744.

The previous prime is 405331132993. The next prime is 405331133021. The reversal of 405331133013 is 310331133504.

405331133013 is a `hidden beast` number, since 4 + 0 + 5 + 3 + 311 + 330 + 13 = 666.

It is not a de Polignac number, because 405331133013 - 2²⁹ = 404794262101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405331133083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2032543 + ... + 2223036.

It is an arithmetic number, because the mean of its divisors is an integer number (25724981100).

Almost surely, 2^405331133013 is an apocalyptic number.

It is an amenable number.

405331133013 is a deficient number, since it is larger than the sum of its proper divisors (212068413387).

405331133013 is a wasteful number, since it uses less digits than its factorization.

405331133013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4256161 (or 4256158 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

Adding to 405331133013 its reverse (310331133504), we get a palindrome (715662266517).

The spelling of 405331133013 in words is "four hundred five billion, three hundred thirty-one million, one hundred thirty-three thousand, thirteen".