413013224033 has 16 divisors (see below), whose sum is σ = 440450149440. Its totient is φ = 387241292160.

The previous prime is 413013224021. The next prime is 413013224059. The reversal of 413013224033 is 330422310314.

It is not a de Polignac number, because 413013224033 - 2³⁰ = 411939482209 is a prime.

It is a super-2 number, since 2×413013224033² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 413013223993 and 413013224011.

It is not an unprimeable number, because it can be changed into a prime (413013224003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 354938 + ... + 975708.

It is an arithmetic number, because the mean of its divisors is an integer number (27528134340).

Almost surely, 2^413013224033 is an apocalyptic number.

It is an amenable number.

413013224033 is a deficient number, since it is larger than the sum of its proper divisors (27436925407).

413013224033 is an frugal number, since it uses more digits than its factorization.

413013224033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620925 (or 620887 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 413013224033 its reverse (330422310314), we get a palindrome (743435534347).

The spelling of 413013224033 in words is "four hundred thirteen billion, thirteen million, two hundred twenty-four thousand, thirty-three".