1001122121213 has 2 divisors, whose sum is σ = 1001122121214. Its totient is φ = 1001122121212.

The previous prime is 1001122121191. The next prime is 1001122121261. The reversal of 1001122121213 is 3121212211001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 912105221764 + 89016899449 = 955042^2 + 298357^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001122121213 - 2¹⁸ = 1001121859069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001122121191 and 1001122121200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001122121113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500561060606 + 500561060607.

It is an arithmetic number, because the mean of its divisors is an integer number (500561060607).

Almost surely, 2^{1001122121213} is an apocalyptic number.

It is an amenable number.

1001122121213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001122121213 is an equidigital number, since it uses as much as digits as its factorization.

1001122121213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1001122121213 its reverse (3121212211001), we get a palindrome (4122334332214).

The spelling of 1001122121213 in words is "one trillion, one billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred thirteen".