2012132020313 has 2 divisors, whose sum is σ = 2012132020314. Its totient is φ = 2012132020312.

The previous prime is 2012132020291. The next prime is 2012132020321. The reversal of 2012132020313 is 3130202312102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1850002581904 + 162129438409 = 1360148^2 + 402653^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012132020313 - 2³² = 2007837053017 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2012132020363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006066010156 + 1006066010157.

It is an arithmetic number, because the mean of its divisors is an integer number (1006066010157).

Almost surely, 2^{2012132020313} is an apocalyptic number.

It is an amenable number.

2012132020313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012132020313 is an equidigital number, since it uses as much as digits as its factorization.

2012132020313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2012132020313 its reverse (3130202312102), we get a palindrome (5142334332415).

The spelling of 2012132020313 in words is "two trillion, twelve billion, one hundred thirty-two million, twenty thousand, three hundred thirteen".