1133133311017 has 2 divisors, whose sum is σ = 1133133311018. Its totient is φ = 1133133311016.

The previous prime is 1133133310997. The next prime is 1133133311041. The reversal of 1133133311017 is 7101133313311.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 610029729936 + 523103581081 = 781044^2 + 723259^2 .

It is an emirp because it is prime and its reverse (7101133313311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1133133311017 - 2⁷ = 1133133310889 is a prime.

It is a super-2 number, since 2×1133133311017² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1133133318017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 566566655508 + 566566655509.

It is an arithmetic number, because the mean of its divisors is an integer number (566566655509).

Almost surely, 2^{1133133311017} is an apocalyptic number.

It is an amenable number.

1133133311017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1133133311017 is an equidigital number, since it uses as much as digits as its factorization.

1133133311017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1701, while the sum is 28.

Adding to 1133133311017 its reverse (7101133313311), we get a palindrome (8234266624328).

It can be divided in two parts, 1133133 and 311017, that added together give a triangular number (1444150 = T₁₆₉₉).

The spelling of 1133133311017 in words is "one trillion, one hundred thirty-three billion, one hundred thirty-three million, three hundred eleven thousand, seventeen".