11122126605013 has 2 divisors, whose sum is σ = 11122126605014. Its totient is φ = 11122126605012.

The previous prime is 11122126604977. The next prime is 11122126605017. The reversal of 11122126605013 is 31050662122111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11105469605169 + 16656999844 = 3332487^2 + 129062^2 .

It is a cyclic number.

It is not a de Polignac number, because 11122126605013 - 2¹³ = 11122126596821 is a prime.

It is a super-4 number, since 4×11122126605013⁴ (a number of 53 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11122126605017) 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, 5561063302506 + 5561063302507.

It is an arithmetic number, because the mean of its divisors is an integer number (5561063302507).

Almost surely, 2^{11122126605013} is an apocalyptic number.

It is an amenable number.

11122126605013 is a deficient number, since it is larger than the sum of its proper divisors (1).

11122126605013 is an equidigital number, since it uses as much as digits as its factorization.

11122126605013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 31.

Adding to 11122126605013 its reverse (31050662122111), we get a palindrome (42172788727124).

The spelling of 11122126605013 in words is "eleven trillion, one hundred twenty-two billion, one hundred twenty-six million, six hundred five thousand, thirteen".