130272052513 has 2 divisors, whose sum is σ = 130272052514. Its totient is φ = 130272052512.

The previous prime is 130272052481. The next prime is 130272052543. The reversal of 130272052513 is 315250272031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116166452224 + 14105600289 = 340832^2 + 118767^2 .

It is an emirp because it is prime and its reverse (315250272031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 130272052513 - 2⁵ = 130272052481 is a prime.

It is not a weakly prime, because it can be changed into another prime (130272052543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65136026256 + 65136026257.

It is an arithmetic number, because the mean of its divisors is an integer number (65136026257).

Almost surely, 2^130272052513 is an apocalyptic number.

It is an amenable number.

130272052513 is a deficient number, since it is larger than the sum of its proper divisors (1).

130272052513 is an equidigital number, since it uses as much as digits as its factorization.

130272052513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12600, while the sum is 31.

The spelling of 130272052513 in words is "one hundred thirty billion, two hundred seventy-two million, fifty-two thousand, five hundred thirteen".