2121202335313 has 2 divisors, whose sum is σ = 2121202335314. Its totient is φ = 2121202335312.

The previous prime is 2121202335283. The next prime is 2121202335319. The reversal of 2121202335313 is 3135332021212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1792085561344 + 329116773969 = 1338688^2 + 573687^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121202335313 - 2²⁵ = 2121168780881 is a prime.

It is not a weakly prime, because it can be changed into another prime (2121202335319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060601167656 + 1060601167657.

It is an arithmetic number, because the mean of its divisors is an integer number (1060601167657).

Almost surely, 2^{2121202335313} is an apocalyptic number.

It is an amenable number.

2121202335313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121202335313 is an equidigital number, since it uses as much as digits as its factorization.

2121202335313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 28.

Adding to 2121202335313 its reverse (3135332021212), we get a palindrome (5256534356525).

The spelling of 2121202335313 in words is "two trillion, one hundred twenty-one billion, two hundred two million, three hundred thirty-five thousand, three hundred thirteen".