3413417103413 has 8 divisors (see below), whose sum is σ = 3553993660056. Its totient is φ = 3275570188800.

The previous prime is 3413417103403. The next prime is 3413417103427. The reversal of 3413417103413 is 3143017143143.

3413417103413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 907328641444 + 2506088461969 = 952538^2 + 1583063^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3413417103413 - 2²⁰ = 3413416054837 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413417103403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 682407956 + ... + 682412957.

It is an arithmetic number, because the mean of its divisors is an integer number (444249207507).

Almost surely, 2^{3413417103413} is an apocalyptic number.

It is an amenable number.

3413417103413 is a deficient number, since it is larger than the sum of its proper divisors (140576556643).

3413417103413 is a wasteful number, since it uses less digits than its factorization.

3413417103413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364821015.

The product of its (nonzero) digits is 36288, while the sum is 35.

The spelling of 3413417103413 in words is "three trillion, four hundred thirteen billion, four hundred seventeen million, one hundred three thousand, four hundred thirteen".