2120212131113 has 2 divisors, whose sum is σ = 2120212131114. Its totient is φ = 2120212131112.

The previous prime is 2120212131077. The next prime is 2120212131139. The reversal of 2120212131113 is 3111312120212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1208574819904 + 911637311209 = 1099352^2 + 954797^2 .

It is a cyclic number.

It is not a de Polignac number, because 2120212131113 - 2⁶ = 2120212131049 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 (2120212134113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060106065556 + 1060106065557.

It is an arithmetic number, because the mean of its divisors is an integer number (1060106065557).

Almost surely, 2^{2120212131113} is an apocalyptic number.

It is an amenable number.

2120212131113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120212131113 is an equidigital number, since it uses as much as digits as its factorization.

2120212131113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 2120212131113 its reverse (3111312120212), we get a palindrome (5231524251325).

The spelling of 2120212131113 in words is "two trillion, one hundred twenty billion, two hundred twelve million, one hundred thirty-one thousand, one hundred thirteen".