413213312314 has 64 divisors (see below), whose sum is σ = 690226251264. Its totient is φ = 183968200000.

The previous prime is 413213312269. The next prime is 413213312371.

413213312314 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101003409 + ... + 101007499.

It is an arithmetic number, because the mean of its divisors is an integer number (10784785176).

Almost surely, 2^413213312314 is an apocalyptic number.

413213312314 is a deficient number, since it is larger than the sum of its proper divisors (277012938950).

413213312314 is a wasteful number, since it uses less digits than its factorization.

413213312314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4683.

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

It can be divided in two parts, 413213 and 312314, that added together give a palindrome (725527).

The spelling of 413213312314 in words is "four hundred thirteen billion, two hundred thirteen million, three hundred twelve thousand, three hundred fourteen".