413321123314 has 32 divisors (see below), whose sum is σ = 678894846336. Its totient is φ = 187165038720.

The previous prime is 413321123273. The next prime is 413321123317.

413321123314 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (413321123317) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20984779 + ... + 21004465.

It is an arithmetic number, because the mean of its divisors is an integer number (21215463948).

Almost surely, 2^413321123314 is an apocalyptic number.

413321123314 is a deficient number, since it is larger than the sum of its proper divisors (265573723022).

413321123314 is a wasteful number, since it uses less digits than its factorization.

413321123314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23250.

The product of its digits is 5184, while the sum is 28.

It can be divided in two parts, 413321 and 123314, that added together give a palindrome (536635).

The spelling of 413321123314 in words is "four hundred thirteen billion, three hundred twenty-one million, one hundred twenty-three thousand, three hundred fourteen".