1001211313321 has 2 divisors, whose sum is σ = 1001211313322. Its totient is φ = 1001211313320.

The previous prime is 1001211313229. The next prime is 1001211313369. The reversal of 1001211313321 is 1233131121001.

1001211313321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 925896195225 + 75315118096 = 962235^2 + 274436^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001211313321 - 2²⁹ = 1000674442409 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001211313381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500605656660 + 500605656661.

It is an arithmetic number, because the mean of its divisors is an integer number (500605656661).

Almost surely, 2^{1001211313321} is an apocalyptic number.

It is an amenable number.

1001211313321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001211313321 is an equidigital number, since it uses as much as digits as its factorization.

1001211313321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 1001211313321 its reverse (1233131121001), we get a palindrome (2234342434322).

The spelling of 1001211313321 in words is "one trillion, one billion, two hundred eleven million, three hundred thirteen thousand, three hundred twenty-one".