212106105313 has 16 divisors (see below), whose sum is σ = 224997736320. Its totient is φ = 199391486976.

The previous prime is 212106105307. The next prime is 212106105319. The reversal of 212106105313 is 313501601212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212106105307) and next prime (212106105319).

It is a cyclic number.

It is not a de Polignac number, because 212106105313 - 2²¹ = 212104008161 is a prime.

It is a super-2 number, since 2×212106105313² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212106105319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1772895 + ... + 1888747.

It is an arithmetic number, because the mean of its divisors is an integer number (14062358520).

Almost surely, 2^212106105313 is an apocalyptic number.

It is an amenable number.

212106105313 is a deficient number, since it is larger than the sum of its proper divisors (12891631007).

212106105313 is a wasteful number, since it uses less digits than its factorization.

212106105313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116616.

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 212106105313 its reverse (313501601212), we get a palindrome (525607706525).

The spelling of 212106105313 in words is "two hundred twelve billion, one hundred six million, one hundred five thousand, three hundred thirteen".