313201202102313 has 64 divisors (see below), whose sum is σ = 492261011251200. Its totient is φ = 173422248480000.

The previous prime is 313201202102291. The next prime is 313201202102389.

313201202102313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313201202102313 - 2⁴⁴ = 295609016057897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313201202102213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2845909138 + ... + 2846019188.

It is an arithmetic number, because the mean of its divisors is an integer number (7691578300800).

Almost surely, 2^{313201202102313} is an apocalyptic number.

It is an amenable number.

313201202102313 is a deficient number, since it is larger than the sum of its proper divisors (179059809148887).

313201202102313 is a wasteful number, since it uses less digits than its factorization.

313201202102313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138758.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 31320120 and 2102313, that added together give a palindrome (33422433).

The spelling of 313201202102313 in words is "three hundred thirteen trillion, two hundred one billion, two hundred two million, one hundred two thousand, three hundred thirteen".