1131033311117 has 2 divisors, whose sum is σ = 1131033311118. Its totient is φ = 1131033311116.

The previous prime is 1131033311101. The next prime is 1131033311123. The reversal of 1131033311117 is 7111133301311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1111620183556 + 19413127561 = 1054334^2 + 139331^2 .

It is a cyclic number.

It is not a de Polignac number, because 1131033311117 - 2⁴ = 1131033311101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1131033311167) 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, 565516655558 + 565516655559.

It is an arithmetic number, because the mean of its divisors is an integer number (565516655559).

Almost surely, 2^{1131033311117} is an apocalyptic number.

It is an amenable number.

1131033311117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1131033311117 is an equidigital number, since it uses as much as digits as its factorization.

1131033311117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 26.

Adding to 1131033311117 its reverse (7111133301311), we get a palindrome (8242166612428).

The spelling of 1131033311117 in words is "one trillion, one hundred thirty-one billion, thirty-three million, three hundred eleven thousand, one hundred seventeen".