413033420121 has 16 divisors (see below), whose sum is σ = 662509747200. Its totient is φ = 223597039248.

The previous prime is 413033420117. The next prime is 413033420143. The reversal of 413033420121 is 121024330314.

It is a happy number.

It is not a de Polignac number, because 413033420121 - 2² = 413033420117 is a prime.

It is a super-2 number, since 2×413033420121² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413033420091 and 413033420100.

It is not an unprimeable number, because it can be changed into a prime (413033420021) 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 15 ways as a sum of consecutive naturals, for example, 517585341 + ... + 517586138.

It is an arithmetic number, because the mean of its divisors is an integer number (41406859200).

Almost surely, 2^413033420121 is an apocalyptic number.

It is an amenable number.

413033420121 is a deficient number, since it is larger than the sum of its proper divisors (249476327079).

413033420121 is a wasteful number, since it uses less digits than its factorization.

413033420121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035171508.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 413033420121 its reverse (121024330314), we get a palindrome (534057750435).

The spelling of 413033420121 in words is "four hundred thirteen billion, thirty-three million, four hundred twenty thousand, one hundred twenty-one".