11121131261281 has 2 divisors, whose sum is σ = 11121131261282. Its totient is φ = 11121131261280.

The previous prime is 11121131261159. The next prime is 11121131261291. The reversal of 11121131261281 is 18216213112111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9741483688225 + 1379647573056 = 3121135^2 + 1174584^2 .

It is a cyclic number.

It is not a de Polignac number, because 11121131261281 - 2¹⁷ = 11121131130209 is a prime.

It is a super-2 number, since 2×11121131261281² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11121131261291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5560565630640 + 5560565630641.

It is an arithmetic number, because the mean of its divisors is an integer number (5560565630641).

Almost surely, 2^{11121131261281} is an apocalyptic number.

It is an amenable number.

11121131261281 is a deficient number, since it is larger than the sum of its proper divisors (1).

11121131261281 is an equidigital number, since it uses as much as digits as its factorization.

11121131261281 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1152, while the sum is 31.

Adding to 11121131261281 its reverse (18216213112111), we get a palindrome (29337344373392).

The spelling of 11121131261281 in words is "eleven trillion, one hundred twenty-one billion, one hundred thirty-one million, two hundred sixty-one thousand, two hundred eighty-one".