11330331012113 has 2 divisors, whose sum is σ = 11330331012114. Its totient is φ = 11330331012112.

The previous prime is 11330331012083. The next prime is 11330331012131. The reversal of 11330331012113 is 31121013303311.

Together with next prime (11330331012131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6727212253969 + 4603118758144 = 2593687^2 + 2145488^2 .

It is a cyclic number.

It is not a de Polignac number, because 11330331012113 - 2¹⁰ = 11330331011089 is a prime.

It is a super-3 number, since 3×11330331012113³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (11330331072113) 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, 5665165506056 + 5665165506057.

It is an arithmetic number, because the mean of its divisors is an integer number (5665165506057).

Almost surely, 2^{11330331012113} is an apocalyptic number.

It is an amenable number.

11330331012113 is a deficient number, since it is larger than the sum of its proper divisors (1).

11330331012113 is an equidigital number, since it uses as much as digits as its factorization.

11330331012113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 11330331012113 its reverse (31121013303311), we get a palindrome (42451344315424).

The spelling of 11330331012113 in words is "eleven trillion, three hundred thirty billion, three hundred thirty-one million, twelve thousand, one hundred thirteen".