1130311011121 has 2 divisors, whose sum is σ = 1130311011122. Its totient is φ = 1130311011120.

The previous prime is 1130311011097. The next prime is 1130311011131. The reversal of 1130311011121 is 1211101130311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1045956198400 + 84354812721 = 1022720^2 + 290439^2 .

It is a cyclic number.

It is not a de Polignac number, because 1130311011121 - 2⁷ = 1130311010993 is a prime.

It is a super-2 number, since 2×1130311011121² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1130311011095 and 1130311011104.

It is not a weakly prime, because it can be changed into another prime (1130311011131) 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, 565155505560 + 565155505561.

It is an arithmetic number, because the mean of its divisors is an integer number (565155505561).

Almost surely, 2^{1130311011121} is an apocalyptic number.

It is an amenable number.

1130311011121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1130311011121 is an equidigital number, since it uses as much as digits as its factorization.

1130311011121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 1130311011121 its reverse (1211101130311), we get a palindrome (2341412141432).

The spelling of 1130311011121 in words is "one trillion, one hundred thirty billion, three hundred eleven million, eleven thousand, one hundred twenty-one".