1001222221313 has 2 divisors, whose sum is σ = 1001222221314. Its totient is φ = 1001222221312.

The previous prime is 1001222221309. The next prime is 1001222221327. The reversal of 1001222221313 is 3131222221001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 981322040689 + 19900180624 = 990617^2 + 141068^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001222221313 - 2² = 1001222221309 is a prime.

It is a super-3 number, since 3×1001222221313³ (a number of 37 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1001221221313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500611110656 + 500611110657.

It is an arithmetic number, because the mean of its divisors is an integer number (500611110657).

Almost surely, 2^{1001222221313} is an apocalyptic number.

It is an amenable number.

1001222221313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001222221313 is an equidigital number, since it uses as much as digits as its factorization.

1001222221313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1001222221313 its reverse (3131222221001), we get a palindrome (4132444442314).

The spelling of 1001222221313 in words is "one trillion, one billion, two hundred twenty-two million, two hundred twenty-one thousand, three hundred thirteen".