313201202232401 has 12 divisors (see below), whose sum is σ = 367943380442100. Its totient is φ = 265800171621600.

The previous prime is 313201202232379. The next prime is 313201202232419. The reversal of 313201202232401 is 104232202102313.

It can be written as a sum of positive squares in 2 ways, for example, as 275229725822401 + 37971476410000 = 16590049^2 + 6162100^2 .

It is not a de Polignac number, because 313201202232401 - 2³⁸ = 312926324325457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313201202232301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31642872626 + ... + 31642882523.

It is an arithmetic number, because the mean of its divisors is an integer number (30661948370175).

Almost surely, 2^{313201202232401} is an apocalyptic number.

It is an amenable number.

313201202232401 is a deficient number, since it is larger than the sum of its proper divisors (54742178209699).

313201202232401 is a wasteful number, since it uses less digits than its factorization.

313201202232401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63285755264 (or 63285755257 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 313201202232401 its reverse (104232202102313), we get a palindrome (417433404334714).

The spelling of 313201202232401 in words is "three hundred thirteen trillion, two hundred one billion, two hundred two million, two hundred thirty-two thousand, four hundred one".