1221331003301 has 2 divisors, whose sum is σ = 1221331003302. Its totient is φ = 1221331003300.

The previous prime is 1221331003183. The next prime is 1221331003351. The reversal of 1221331003301 is 1033001331221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1216225186276 + 5105817025 = 1102826^2 + 71455^2 .

It is an emirp because it is prime and its reverse (1033001331221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1221331003301 - 2¹⁸ = 1221330741157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1221331003351) 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, 610665501650 + 610665501651.

It is an arithmetic number, because the mean of its divisors is an integer number (610665501651).

Almost surely, 2^{1221331003301} is an apocalyptic number.

It is an amenable number.

1221331003301 is a deficient number, since it is larger than the sum of its proper divisors (1).

1221331003301 is an equidigital number, since it uses as much as digits as its factorization.

1221331003301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1221331003301 its reverse (1033001331221), we get a palindrome (2254332334522).

The spelling of 1221331003301 in words is "one trillion, two hundred twenty-one billion, three hundred thirty-one million, three thousand, three hundred one".