414213101312413 has 8 divisors (see below), whose sum is σ = 472315391542008. Its totient is φ = 359859345936384.

The previous prime is 414213101312333. The next prime is 414213101312449. The reversal of 414213101312413 is 314213101312414.

It can be written as a sum of positive squares in 4 ways, for example, as 112372444744569 + 301840656567844 = 10600587^2 + 17373562^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414213101312413 is a prime.

It is a super-2 number, since 2×414213101312413² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414213101312473) 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, 937133713156 + ... + 937133713597.

It is an arithmetic number, because the mean of its divisors is an integer number (59039423942751).

Almost surely, 2^{414213101312413} is an apocalyptic number.

It is an amenable number.

414213101312413 is a deficient number, since it is larger than the sum of its proper divisors (58102290229595).

414213101312413 is a wasteful number, since it uses less digits than its factorization.

414213101312413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874267426783.

The product of its (nonzero) digits is 6912, while the sum is 31.

Adding to 414213101312413 its reverse (314213101312414), we get a palindrome (728426202624827).

Subtracting from 414213101312413 its reverse (314213101312414), we obtain a palindrome (99999999999999).

The spelling of 414213101312413 in words is "four hundred fourteen trillion, two hundred thirteen billion, one hundred one million, three hundred twelve thousand, four hundred thirteen".