1131011112313 has 2 divisors, whose sum is σ = 1131011112314. Its totient is φ = 1131011112312.

The previous prime is 1131011112241. The next prime is 1131011112373. The reversal of 1131011112313 is 3132111101311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1044817198569 + 86193913744 = 1022163^2 + 293588^2 .

It is an emirp because it is prime and its reverse (3132111101311) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1131011112313 is a prime.

It is a super-2 number, since 2×1131011112313² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1131011112373) 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, 565505556156 + 565505556157.

It is an arithmetic number, because the mean of its divisors is an integer number (565505556157).

Almost surely, 2^{1131011112313} is an apocalyptic number.

It is an amenable number.

1131011112313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1131011112313 is an equidigital number, since it uses as much as digits as its factorization.

1131011112313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 1131011112313 its reverse (3132111101311), we get a palindrome (4263122213624).

The spelling of 1131011112313 in words is "one trillion, one hundred thirty-one billion, eleven million, one hundred twelve thousand, three hundred thirteen".