413234121033 has 24 divisors (see below), whose sum is σ = 608479379976. Its totient is φ = 270168998400.

The previous prime is 413234121031. The next prime is 413234121037. The reversal of 413234121033 is 330121432314.

It is a happy number.

413234121033 is a `hidden beast` number, since 413 + 2 + 3 + 4 + 1 + 210 + 33 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10354487049 + 402879633984 = 101757^2 + 634728^2 .

It is not a de Polignac number, because 413234121033 - 2¹ = 413234121031 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413234120988 and 413234121006.

It is not an unprimeable number, because it can be changed into a prime (413234121031) 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, 931758 + ... + 1301783.

It is an arithmetic number, because the mean of its divisors is an integer number (25353307499).

Almost surely, 2^413234121033 is an apocalyptic number.

It is an amenable number.

413234121033 is a deficient number, since it is larger than the sum of its proper divisors (195245258943).

413234121033 is a wasteful number, since it uses less digits than its factorization.

413234121033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2233945 (or 2233942 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 413234121033 its reverse (330121432314), we get a palindrome (743355553347).

The spelling of 413234121033 in words is "four hundred thirteen billion, two hundred thirty-four million, one hundred twenty-one thousand, thirty-three".