1021312033321 has 2 divisors, whose sum is σ = 1021312033322. Its totient is φ = 1021312033320.

The previous prime is 1021312033319. The next prime is 1021312033381. The reversal of 1021312033321 is 1233302131201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 700508737296 + 320803296025 = 836964^2 + 566395^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021312033321 - 2¹ = 1021312033319 is a prime.

Together with 1021312033319, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1021312033292 and 1021312033301.

It is not a weakly prime, because it can be changed into another prime (1021312033381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510656016660 + 510656016661.

It is an arithmetic number, because the mean of its divisors is an integer number (510656016661).

Almost surely, 2^{1021312033321} is an apocalyptic number.

It is an amenable number.

1021312033321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021312033321 is an equidigital number, since it uses as much as digits as its factorization.

1021312033321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1021312033321 its reverse (1233302131201), we get a palindrome (2254614164522).

The spelling of 1021312033321 in words is "one trillion, twenty-one billion, three hundred twelve million, thirty-three thousand, three hundred twenty-one".