413121304413 has 12 divisors (see below), whose sum is σ = 606844854720. Its totient is φ = 270746165256.

The previous prime is 413121304381. The next prime is 413121304459. The reversal of 413121304413 is 314403121314.

413121304413 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 213 + 0 + 441 + 3 = 666.

It is not a de Polignac number, because 413121304413 - 2⁵ = 413121304381 is a prime.

It is a super-2 number, since 2×413121304413² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413121304313) 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 11 ways as a sum of consecutive naturals, for example, 389002581 + ... + 389003642.

It is an arithmetic number, because the mean of its divisors is an integer number (50570404560).

Almost surely, 2^413121304413 is an apocalyptic number.

It is an amenable number.

413121304413 is a deficient number, since it is larger than the sum of its proper divisors (193723550307).

413121304413 is a wasteful number, since it uses less digits than its factorization.

413121304413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778006288 (or 778006285 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 413121304413 its reverse (314403121314), we get a palindrome (727524425727).

The spelling of 413121304413 in words is "four hundred thirteen billion, one hundred twenty-one million, three hundred four thousand, four hundred thirteen".