13405430541033 has 24 divisors (see below), whose sum is σ = 19836211023720. Its totient is φ = 8718744791040.

The previous prime is 13405430541031. The next prime is 13405430541043. The reversal of 13405430541033 is 33014503450431.

13405430541033 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 54 + 30 + 541 + 0 + 33 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 289791652329 + 13115638888704 = 538323^2 + 3621552^2 .

It is not a de Polignac number, because 13405430541033 - 2¹ = 13405430541031 is a prime.

It is a super-2 number, since 2×13405430541033² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13405430541031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13821985 + ... + 14760017.

It is an arithmetic number, because the mean of its divisors is an integer number (826508792655).

Almost surely, 2^{13405430541033} is an apocalyptic number.

It is an amenable number.

13405430541033 is a deficient number, since it is larger than the sum of its proper divisors (6430780482687).

13405430541033 is a wasteful number, since it uses less digits than its factorization.

13405430541033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976809 (or 976806 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 13405430541033 its reverse (33014503450431), we get a palindrome (46419933991464).

The spelling of 13405430541033 in words is "thirteen trillion, four hundred five billion, four hundred thirty million, five hundred forty-one thousand, thirty-three".