2012121313 has 2 divisors, whose sum is σ = 2012121314. Its totient is φ = 2012121312.

The previous prime is 2012121311. The next prime is 2012121323. The reversal of 2012121313 is 3131212102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2002831009 + 9290304 = 44753^2 + 3048^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012121313 - 2¹ = 2012121311 is a prime.

Together with 2012121311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2012121311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006060656 + 1006060657.

It is an arithmetic number, because the mean of its divisors is an integer number (1006060657).

Almost surely, 2^2012121313 is an apocalyptic number.

It is an amenable number.

2012121313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012121313 is an equidigital number, since it uses as much as digits as its factorization.

2012121313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2012121313 is about 44856.6752334588. The cubic root of 2012121313 is about 1262.4612412765.

Adding to 2012121313 its reverse (3131212102), we get a palindrome (5143333415).

The spelling of 2012121313 in words is "two billion, twelve million, one hundred twenty-one thousand, three hundred thirteen".