413114115321105 has 32 divisors (see below), whose sum is σ = 759023063562240. Its totient is φ = 189755765887680.

The previous prime is 413114115321097. The next prime is 413114115321121. The reversal of 413114115321105 is 501123511411314.

It is not a de Polignac number, because 413114115321105 - 2³ = 413114115321097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 65887415577 + ... + 65887421846.

It is an arithmetic number, because the mean of its divisors is an integer number (23719470736320).

Almost surely, 2^{413114115321105} is an apocalyptic number.

It is an amenable number.

413114115321105 is a deficient number, since it is larger than the sum of its proper divisors (345908948241135).

413114115321105 is a wasteful number, since it uses less digits than its factorization.

413114115321105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131774837461.

The product of its (nonzero) digits is 7200, while the sum is 33.

Adding to 413114115321105 its reverse (501123511411314), we get a palindrome (914237626732419).

The spelling of 413114115321105 in words is "four hundred thirteen trillion, one hundred fourteen billion, one hundred fifteen million, three hundred twenty-one thousand, one hundred five".