130033120813 has 2 divisors, whose sum is σ = 130033120814. Its totient is φ = 130033120812.

The previous prime is 130033120787. The next prime is 130033120829. The reversal of 130033120813 is 318021330031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91108592964 + 38924527849 = 301842^2 + 197293^2 .

It is an emirp because it is prime and its reverse (318021330031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 130033120813 - 2²⁹ = 129496249901 is a prime.

It is a super-2 number, since 2×130033120813² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (130033120913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65016560406 + 65016560407.

It is an arithmetic number, because the mean of its divisors is an integer number (65016560407).

Almost surely, 2^130033120813 is an apocalyptic number.

It is an amenable number.

130033120813 is a deficient number, since it is larger than the sum of its proper divisors (1).

130033120813 is an equidigital number, since it uses as much as digits as its factorization.

130033120813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 130033120813 its reverse (318021330031), we get a palindrome (448054450844).

The spelling of 130033120813 in words is "one hundred thirty billion, thirty-three million, one hundred twenty thousand, eight hundred thirteen".