1021313321221 has 2 divisors, whose sum is σ = 1021313321222. Its totient is φ = 1021313321220.

The previous prime is 1021313321201. The next prime is 1021313321267. The reversal of 1021313321221 is 1221233131201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1021009202500 + 304118721 = 1010450^2 + 17439^2 .

It is an emirp because it is prime and its reverse (1221233131201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1021313321221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1021313321192 and 1021313321201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1021313321201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510656660610 + 510656660611.

It is an arithmetic number, because the mean of its divisors is an integer number (510656660611).

Almost surely, 2^{1021313321221} is an apocalyptic number.

It is an amenable number.

1021313321221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021313321221 is an equidigital number, since it uses as much as digits as its factorization.

1021313321221 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 22.

Adding to 1021313321221 its reverse (1221233131201), we get a palindrome (2242546452422).

The spelling of 1021313321221 in words is "one trillion, twenty-one billion, three hundred thirteen million, three hundred twenty-one thousand, two hundred twenty-one".