413414032321103 has 128 divisors (see below), whose sum is σ = 477832836096000. Its totient is φ = 354405240000000.

The previous prime is 413414032321067. The next prime is 413414032321151. The reversal of 413414032321103 is 301123230414314.

It is a cyclic number.

It is not a de Polignac number, because 413414032321103 - 2¹⁴ = 413414032304719 is a prime.

It is a super-2 number, since 2×413414032321103² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 413414032321103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413414032321163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 126853030688 + ... + 126853033946.

It is an arithmetic number, because the mean of its divisors is an integer number (3733069032000).

Almost surely, 2^{413414032321103} is an apocalyptic number.

413414032321103 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

413414032321103 is a deficient number, since it is larger than the sum of its proper divisors (64418803774897).

413414032321103 is a wasteful number, since it uses less digits than its factorization.

413414032321103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885.

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 413414032321103 its reverse (301123230414314), we get a palindrome (714537262735417).

The spelling of 413414032321103 in words is "four hundred thirteen trillion, four hundred fourteen billion, thirty-two million, three hundred twenty-one thousand, one hundred three".