1001213122321 has 2 divisors, whose sum is σ = 1001213122322. Its totient is φ = 1001213122320.

The previous prime is 1001213122307. The next prime is 1001213122361. The reversal of 1001213122321 is 1232213121001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 712607793921 + 288605328400 = 844161^2 + 537220^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001213122321 - 2¹³ = 1001213114129 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001213122361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500606561160 + 500606561161.

It is an arithmetic number, because the mean of its divisors is an integer number (500606561161).

Almost surely, 2^{1001213122321} is an apocalyptic number.

It is an amenable number.

1001213122321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001213122321 is an equidigital number, since it uses as much as digits as its factorization.

1001213122321 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 19.

Adding to 1001213122321 its reverse (1232213121001), we get a palindrome (2233426243322).

The spelling of 1001213122321 in words is "one trillion, one billion, two hundred thirteen million, one hundred twenty-two thousand, three hundred twenty-one".