413313313314 has 32 divisors (see below), whose sum is σ = 954820063296. Its totient is φ = 117879019520.

The previous prime is 413313313291. The next prime is 413313313319.

413313313314 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (413313313319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184184847 + ... + 184187090.

It is an arithmetic number, because the mean of its divisors is an integer number (29838126978).

Almost surely, 2^413313313314 is an apocalyptic number.

413313313314 is an abundant number, since it is smaller than the sum of its proper divisors (541506749982).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413313313314 is a wasteful number, since it uses less digits than its factorization.

413313313314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368371970.

The product of its digits is 11664, while the sum is 30.

It can be divided in two parts, 413313 and 313314, that added together give a palindrome (726627).

The spelling of 413313313314 in words is "four hundred thirteen billion, three hundred thirteen million, three hundred thirteen thousand, three hundred fourteen".