130311102013 has 2 divisors, whose sum is σ = 130311102014. Its totient is φ = 130311102012.

The previous prime is 130311102011. The next prime is 130311102017. The reversal of 130311102013 is 310201113031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120577701049 + 9733400964 = 347243^2 + 98658^2 .

It is a cyclic number.

It is not a de Polignac number, because 130311102013 - 2¹ = 130311102011 is a prime.

Together with 130311102011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (130311102011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65155551006 + 65155551007.

It is an arithmetic number, because the mean of its divisors is an integer number (65155551007).

Almost surely, 2^130311102013 is an apocalyptic number.

It is an amenable number.

130311102013 is a deficient number, since it is larger than the sum of its proper divisors (1).

130311102013 is an equidigital number, since it uses as much as digits as its factorization.

130311102013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 130311102013 its reverse (310201113031), we get a palindrome (440512215044).

It can be divided in two parts, 130311 and 102013, that added together give a square (232324 = 482²).

The spelling of 130311102013 in words is "one hundred thirty billion, three hundred eleven million, one hundred two thousand, thirteen".