1020201320321 has 2 divisors, whose sum is σ = 1020201320322. Its totient is φ = 1020201320320.

The previous prime is 1020201320311. The next prime is 1020201320339. The reversal of 1020201320321 is 1230231020201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 560604100225 + 459597220096 = 748735^2 + 677936^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020201320321 - 2¹⁴ = 1020201303937 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1020201320321.

It is not a weakly prime, because it can be changed into another prime (1020201320311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510100660160 + 510100660161.

It is an arithmetic number, because the mean of its divisors is an integer number (510100660161).

Almost surely, 2^{1020201320321} is an apocalyptic number.

It is an amenable number.

1020201320321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020201320321 is an equidigital number, since it uses as much as digits as its factorization.

1020201320321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1020201320321 its reverse (1230231020201), we get a palindrome (2250432340522).

The spelling of 1020201320321 in words is "one trillion, twenty billion, two hundred one million, three hundred twenty thousand, three hundred twenty-one".