413201202102315 has 96 divisors (see below), whose sum is σ = 788540770068480. Its totient is φ = 198490230432000.

The previous prime is 413201202102251. The next prime is 413201202102319. The reversal of 413201202102315 is 513201202102314.

It is a happy number.

413201202102315 is a `hidden beast` number, since 4 + 1 + 320 + 1 + 2 + 0 + 21 + 0 + 2 + 315 = 666.

It is not a de Polignac number, because 413201202102315 - 2⁶ = 413201202102251 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413201202102319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 946746034 + ... + 947182376.

It is an arithmetic number, because the mean of its divisors is an integer number (8213966354880).

Almost surely, 2^{413201202102315} is an apocalyptic number.

413201202102315 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

413201202102315 is a deficient number, since it is larger than the sum of its proper divisors (375339567966165).

413201202102315 is a wasteful number, since it uses less digits than its factorization.

413201202102315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454025 (or 454022 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 413201202102315 its reverse (513201202102314), we get a palindrome (926402404204629).

Subtracting 413201202102315 from its reverse (513201202102314), we obtain a palindrome (99999999999999).

The spelling of 413201202102315 in words is "four hundred thirteen trillion, two hundred one billion, two hundred two million, one hundred two thousand, three hundred fifteen".