2100312313 has 6 divisors (see below), whose sum is σ = 2308607882. Its totient is φ = 1909374720.

The previous prime is 2100312299. The next prime is 2100312323. The reversal of 2100312313 is 3132130012.

It can be written as a sum of positive squares in only one way, i.e., 1991569129 + 108743184 = 44627^2 + 10428^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2100312313 is a prime.

It is a super-2 number, since 2×2100312313² = 8822623624278819938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2100312323) 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 5 ways as a sum of consecutive naturals, for example, 8678856 + ... + 8679097.

Almost surely, 2^2100312313 is an apocalyptic number.

It is an amenable number.

2100312313 is a deficient number, since it is larger than the sum of its proper divisors (208295569).

2100312313 is a wasteful number, since it uses less digits than its factorization.

2100312313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17357975 (or 17357964 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2100312313 is about 45829.1644370700. The cubic root of 2100312313 is about 1280.6426446218.

Adding to 2100312313 its reverse (3132130012), we get a palindrome (5232442325).

It can be divided in two parts, 2100 and 312313, that added together give a palindrome (314413).

The spelling of 2100312313 in words is "two billion, one hundred million, three hundred twelve thousand, three hundred thirteen".