413201202102314 has 32 divisors (see below), whose sum is σ = 662766858883152. Its totient is φ = 192519932800000.

The previous prime is 413201202102251. The next prime is 413201202102319.

It is a happy number.

413201202102314 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 381714570525289 + 31486631577025 = 19537517^2 + 5611295^2 .

It is not an unprimeable number, because it can be changed into a prime (413201202102319) 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, 282303764 + ... + 283763664.

Almost surely, 2^{413201202102314} is an apocalyptic number.

413201202102314 is a deficient number, since it is larger than the sum of its proper divisors (249565656780838).

413201202102314 is a wasteful number, since it uses less digits than its factorization.

413201202102314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542442.

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 41320120 and 2102314, that added together give a palindrome (43422434).

The spelling of 413201202102314 in words is "four hundred thirteen trillion, two hundred one billion, two hundred two million, one hundred two thousand, three hundred fourteen".