313002200313 has 24 divisors (see below), whose sum is σ = 494101161216. Its totient is φ = 189357698400.

The previous prime is 313002200311. The next prime is 313002200443.

313002200313 is a `hidden beast` number, since 3 + 130 + 0 + 220 + 0 + 313 = 666.

313002200313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313002200313 - 2¹ = 313002200311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313002200311) 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 23 ways as a sum of consecutive naturals, for example, 2782953 + ... + 2893238.

It is an arithmetic number, because the mean of its divisors is an integer number (20587548384).

Almost surely, 2^313002200313 is an apocalyptic number.

313002200313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

313002200313 is a deficient number, since it is larger than the sum of its proper divisors (181098960903).

313002200313 is a wasteful number, since it uses less digits than its factorization.

313002200313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5676765 (or 5676762 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

It can be divided in two parts, 313002 and 200313, that added together give a palindrome (513315).

The spelling of 313002200313 in words is "three hundred thirteen billion, two million, two hundred thousand, three hundred thirteen".