413313231033 has 24 divisors (see below), whose sum is σ = 615104348040. Its totient is φ = 267267690240.

The previous prime is 413313231013. The next prime is 413313231043. The reversal of 413313231033 is 330132313314.

413313231033 is a `hidden beast` number, since 4 + 1 + 3 + 313 + 2 + 310 + 33 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 73822464 + 413239408569 = 8592^2 + 642837^2 .

It is not a de Polignac number, because 413313231033 - 2⁶ = 413313230969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413313230988 and 413313231006.

It is not an unprimeable number, because it can be changed into a prime (413313231013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3173418 + ... + 3301091.

It is an arithmetic number, because the mean of its divisors is an integer number (25629347835).

Almost surely, 2^413313231033 is an apocalyptic number.

It is an amenable number.

413313231033 is a deficient number, since it is larger than the sum of its proper divisors (201791117007).

413313231033 is a wasteful number, since it uses less digits than its factorization.

413313231033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6474729 (or 6474726 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 413313231033 its reverse (330132313314), we get a palindrome (743445544347).

The spelling of 413313231033 in words is "four hundred thirteen billion, three hundred thirteen million, two hundred thirty-one thousand, thirty-three".