2210212313 has 16 divisors (see below), whose sum is σ = 2393428176. Its totient is φ = 2033418240.

The previous prime is 2210212283. The next prime is 2210212327. The reversal of 2210212313 is 3132120122.

It can be written as a sum of positive squares in 8 ways, for example, as 12759184 + 2197453129 = 3572^2 + 46877^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210212313 - 2²⁶ = 2143103449 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

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 = 2210212291 and 2210212300.

It is not an unprimeable number, because it can be changed into a prime (2210212343) 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 15 ways as a sum of consecutive naturals, for example, 132353 + ... + 148113.

It is an arithmetic number, because the mean of its divisors is an integer number (149589261).

Almost surely, 2^2210212313 is an apocalyptic number.

It is an amenable number.

2210212313 is a deficient number, since it is larger than the sum of its proper divisors (183215863).

2210212313 is a wasteful number, since it uses less digits than its factorization.

2210212313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15964.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2210212313 is about 47012.8951778127. The cubic root of 2210212313 is about 1302.6007723359.

Adding to 2210212313 its reverse (3132120122), we get a palindrome (5342332435).

The spelling of 2210212313 in words is "two billion, two hundred ten million, two hundred twelve thousand, three hundred thirteen".