2112121313 has 2 divisors, whose sum is σ = 2112121314. Its totient is φ = 2112121312.

The previous prime is 2112121309. The next prime is 2112121351. The reversal of 2112121313 is 3131212112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1903838689 + 208282624 = 43633^2 + 14432^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112121313 - 2² = 2112121309 is a prime.

It is a super-2 number, since 2×2112121313² = 8922112881657687938, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112121291 and 2112121300.

It is not a weakly prime, because it can be changed into another prime (2112121373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056060656 + 1056060657.

It is an arithmetic number, because the mean of its divisors is an integer number (1056060657).

Almost surely, 2^2112121313 is an apocalyptic number.

It is an amenable number.

2112121313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112121313 is an equidigital number, since it uses as much as digits as its factorization.

2112121313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 72, while the sum is 17.

The square root of 2112121313 is about 45957.8210210188. The cubic root of 2112121313 is about 1283.0382969076.

Adding to 2112121313 its reverse (3131212112), we get a palindrome (5243333425).

The spelling of 2112121313 in words is "two billion, one hundred twelve million, one hundred twenty-one thousand, three hundred thirteen".