11122120221313 has 2 divisors, whose sum is σ = 11122120221314. Its totient is φ = 11122120221312.

The previous prime is 11122120221307. The next prime is 11122120221319. The reversal of 11122120221313 is 31312202122111.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (11122120221307) and next prime (11122120221319).

It can be written as a sum of positive squares in only one way, i.e., 11055944202304 + 66176019009 = 3325048^2 + 257247^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11122120221313 is a prime.

It is a super-3 number, since 3×11122120221313³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (11122120221319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5561060110656 + 5561060110657.

It is an arithmetic number, because the mean of its divisors is an integer number (5561060110657).

Almost surely, 2^{11122120221313} is an apocalyptic number.

It is an amenable number.

11122120221313 is a deficient number, since it is larger than the sum of its proper divisors (1).

11122120221313 is an equidigital number, since it uses as much as digits as its factorization.

11122120221313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 11122120221313 its reverse (31312202122111), we get a palindrome (42434322343424).

The spelling of 11122120221313 in words is "eleven trillion, one hundred twenty-two billion, one hundred twenty million, two hundred twenty-one thousand, three hundred thirteen".