11000220121313 has 2 divisors, whose sum is σ = 11000220121314. Its totient is φ = 11000220121312.

The previous prime is 11000220121181. The next prime is 11000220121349. The reversal of 11000220121313 is 31312102200011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10986626193664 + 13593927649 = 3314608^2 + 116593^2 .

It is a cyclic number.

It is not a de Polignac number, because 11000220121313 - 2⁸ = 11000220121057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11000220121291 and 11000220121300.

It is not a weakly prime, because it can be changed into another prime (11000220121393) 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, 5500110060656 + 5500110060657.

It is an arithmetic number, because the mean of its divisors is an integer number (5500110060657).

Almost surely, 2^{11000220121313} is an apocalyptic number.

It is an amenable number.

11000220121313 is a deficient number, since it is larger than the sum of its proper divisors (1).

11000220121313 is an equidigital number, since it uses as much as digits as its factorization.

11000220121313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 11000220121313 its reverse (31312102200011), we get a palindrome (42312322321324).

The spelling of 11000220121313 in words is "eleven trillion, two hundred twenty million, one hundred twenty-one thousand, three hundred thirteen".