11303111122133 has 2 divisors, whose sum is σ = 11303111122134. Its totient is φ = 11303111122132.

The previous prime is 11303111122103. The next prime is 11303111122139. The reversal of 11303111122133 is 33122111130311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8391316987729 + 2911794134404 = 2896777^2 + 1706398^2 .

It is a cyclic number.

It is not a de Polignac number, because 11303111122133 - 2¹⁶ = 11303111056597 is a prime.

It is a super-3 number, since 3×11303111122133³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11303111122099 and 11303111122108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11303111122139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5651555561066 + 5651555561067.

It is an arithmetic number, because the mean of its divisors is an integer number (5651555561067).

Almost surely, 2^{11303111122133} is an apocalyptic number.

It is an amenable number.

11303111122133 is a deficient number, since it is larger than the sum of its proper divisors (1).

11303111122133 is an equidigital number, since it uses as much as digits as its factorization.

11303111122133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 11303111122133 its reverse (33122111130311), we get a palindrome (44425222252444).

The spelling of 11303111122133 in words is "eleven trillion, three hundred three billion, one hundred eleven million, one hundred twenty-two thousand, one hundred thirty-three".