2100313313 has 24 divisors (see below), whose sum is σ = 2538371880. Its totient is φ = 1730695680.

The previous prime is 2100313279. The next prime is 2100313337. The reversal of 2100313313 is 3133130012.

It can be written as a sum of positive squares in 4 ways, for example, as 1164993424 + 935319889 = 34132^2 + 30583^2 .

It is not a de Polignac number, because 2100313313 - 2⁶ = 2100313249 is a prime.

It is a super-2 number, since 2×2100313313² = 8822632025530071938, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2100313291 and 2100313300.

It is not an unprimeable number, because it can be changed into a prime (2100313013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339395 + ... + 345527.

It is an arithmetic number, because the mean of its divisors is an integer number (105765495).

Almost surely, 2^2100313313 is an apocalyptic number.

It is an amenable number.

2100313313 is a deficient number, since it is larger than the sum of its proper divisors (438058567).

2100313313 is a wasteful number, since it uses less digits than its factorization.

2100313313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6417 (or 6410 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 2100313313 is about 45829.1753471519. The cubic root of 2100313313 is about 1280.6428478681.

Adding to 2100313313 its reverse (3133130012), we get a palindrome (5233443325).

The spelling of 2100313313 in words is "two billion, one hundred million, three hundred thirteen thousand, three hundred thirteen".