2121213321313 has 2 divisors, whose sum is σ = 2121213321314. Its totient is φ = 2121213321312.

The previous prime is 2121213321307. The next prime is 2121213321389. The reversal of 2121213321313 is 3131233121212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1665253459809 + 455959861504 = 1290447^2 + 675248^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121213321313 - 2⁹ = 2121213320801 is a prime.

It is not a weakly prime, because it can be changed into another prime (2121213321413) 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, 1060606660656 + 1060606660657.

It is an arithmetic number, because the mean of its divisors is an integer number (1060606660657).

Almost surely, 2^{2121213321313} is an apocalyptic number.

It is an amenable number.

2121213321313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121213321313 is an equidigital number, since it uses as much as digits as its factorization.

2121213321313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 25.

Adding to 2121213321313 its reverse (3131233121212), we get a palindrome (5252446442525).

The spelling of 2121213321313 in words is "two trillion, one hundred twenty-one billion, two hundred thirteen million, three hundred twenty-one thousand, three hundred thirteen".