414013202313 has 16 divisors (see below), whose sum is σ = 559557323520. Its totient is φ = 272245843584.

The previous prime is 414013202261. The next prime is 414013202327. The reversal of 414013202313 is 313202310414.

It is a happy number.

It is not a de Polignac number, because 414013202313 - 2¹⁰ = 414013201289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414013202353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 622156 + ... + 1102317.

It is an arithmetic number, because the mean of its divisors is an integer number (34972332720).

Almost surely, 2^414013202313 is an apocalyptic number.

It is an amenable number.

414013202313 is a deficient number, since it is larger than the sum of its proper divisors (145544121207).

414013202313 is a wasteful number, since it uses less digits than its factorization.

414013202313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725568.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 414013202313 its reverse (313202310414), we get a palindrome (727215512727).

The spelling of 414013202313 in words is "four hundred fourteen billion, thirteen million, two hundred two thousand, three hundred thirteen".