413211323112314 has 32 divisors (see below), whose sum is σ = 622790679087360. Its totient is φ = 205615514345472.

The previous prime is 413211323112311. The next prime is 413211323112317.

It is a happy number.

413211323112314 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (413211323112311) and next prime (413211323112317).

It is not an unprimeable number, because it can be changed into a prime (413211323112311) 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, 8648725994 + ... + 8648773770.

It is an arithmetic number, because the mean of its divisors is an integer number (19462208721480).

Almost surely, 2^{413211323112314} is an apocalyptic number.

413211323112314 is a deficient number, since it is larger than the sum of its proper divisors (209579355975046).

413211323112314 is a wasteful number, since it uses less digits than its factorization.

413211323112314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58694.

The product of its digits is 10368, while the sum is 32.

The spelling of 413211323112314 in words is "four hundred thirteen trillion, two hundred eleven billion, three hundred twenty-three million, one hundred twelve thousand, three hundred fourteen".