2130212313 has 24 divisors (see below), whose sum is σ = 3186560520. Its totient is φ = 1369670400.

The previous prime is 2130212297. The next prime is 2130212351. The reversal of 2130212313 is 3132120312.

It can be written as a sum of positive squares in 4 ways, for example, as 1096139664 + 1034072649 = 33108^2 + 32157^2 .

It is not a de Polignac number, because 2130212313 - 2⁴ = 2130212297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2130212713) 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, 265663 + ... + 273563.

It is an arithmetic number, because the mean of its divisors is an integer number (132773355).

Almost surely, 2^2130212313 is an apocalyptic number.

It is an amenable number.

2130212313 is a deficient number, since it is larger than the sum of its proper divisors (1056348207).

2130212313 is a wasteful number, since it uses less digits than its factorization.

2130212313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8969 (or 8966 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2130212313 is about 46154.2231328835. The cubic root of 2130212313 is about 1286.6910997520.

Adding to 2130212313 its reverse (3132120312), we get a palindrome (5262332625).

The spelling of 2130212313 in words is "two billion, one hundred thirty million, two hundred twelve thousand, three hundred thirteen".