11131013110313 has 2 divisors, whose sum is σ = 11131013110314. Its totient is φ = 11131013110312.

The previous prime is 11131013110277. The next prime is 11131013110351. The reversal of 11131013110313 is 31301131013111.

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., 6147885537049 + 4983127573264 = 2479493^2 + 2232292^2 .

It is an emirp because it is prime and its reverse (31301131013111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11131013110313 - 2⁸ = 11131013110057 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (11131013110213) 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, 5565506555156 + 5565506555157.

It is an arithmetic number, because the mean of its divisors is an integer number (5565506555157).

Almost surely, 2^{11131013110313} is an apocalyptic number.

It is an amenable number.

11131013110313 is a deficient number, since it is larger than the sum of its proper divisors (1).

11131013110313 is an equidigital number, since it uses as much as digits as its factorization.

11131013110313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 20.

Adding to 11131013110313 its reverse (31301131013111), we get a palindrome (42432144123424).

The spelling of 11131013110313 in words is "eleven trillion, one hundred thirty-one billion, thirteen million, one hundred ten thousand, three hundred thirteen".