130133110031 has 2 divisors, whose sum is σ = 130133110032. Its totient is φ = 130133110030.

The previous prime is 130133110001. The next prime is 130133110033. The reversal of 130133110031 is 130011331031.

It is a strong prime.

It is an emirp because it is prime and its reverse (130011331031) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-130133110031 is a prime.

It is a super-2 number, since 2×130133110031² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 130133110033, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 130133109991 and 130133110009.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (130133110033) 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, 65066555015 + 65066555016.

It is an arithmetic number, because the mean of its divisors is an integer number (65066555016).

Almost surely, 2^130133110031 is an apocalyptic number.

130133110031 is a deficient number, since it is larger than the sum of its proper divisors (1).

130133110031 is an equidigital number, since it uses as much as digits as its factorization.

130133110031 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 17.

Adding to 130133110031 its reverse (130011331031), we get a palindrome (260144441062).

The spelling of 130133110031 in words is "one hundred thirty billion, one hundred thirty-three million, one hundred ten thousand, thirty-one".