130311201113 has 2 divisors, whose sum is σ = 130311201114. Its totient is φ = 130311201112.

The previous prime is 130311201079. The next prime is 130311201157. The reversal of 130311201113 is 311102113031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 124515119689 + 5796081424 = 352867^2 + 76132^2 .

It is an emirp because it is prime and its reverse (311102113031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 130311201113 - 2²⁰ = 130310152537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130311201091 and 130311201100.

It is not a weakly prime, because it can be changed into another prime (130311201173) 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, 65155600556 + 65155600557.

It is an arithmetic number, because the mean of its divisors is an integer number (65155600557).

Almost surely, 2^130311201113 is an apocalyptic number.

It is an amenable number.

130311201113 is a deficient number, since it is larger than the sum of its proper divisors (1).

130311201113 is an equidigital number, since it uses as much as digits as its factorization.

130311201113 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 17.

Adding to 130311201113 its reverse (311102113031), we get a palindrome (441413314144).

The spelling of 130311201113 in words is "one hundred thirty billion, three hundred eleven million, two hundred one thousand, one hundred thirteen".