3930129110513 has 2 divisors, whose sum is σ = 3930129110514. Its totient is φ = 3930129110512.

The previous prime is 3930129110489. The next prime is 3930129110519. The reversal of 3930129110513 is 3150119210393.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2569714799089 + 1360414311424 = 1603033^2 + 1166368^2 .

It is a cyclic number.

It is not a de Polignac number, because 3930129110513 - 2¹² = 3930129106417 is a prime.

It is not a weakly prime, because it can be changed into another prime (3930129110519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1965064555256 + 1965064555257.

It is an arithmetic number, because the mean of its divisors is an integer number (1965064555257).

Almost surely, 2^{3930129110513} is an apocalyptic number.

It is an amenable number.

3930129110513 is a deficient number, since it is larger than the sum of its proper divisors (1).

3930129110513 is an equidigital number, since it uses as much as digits as its factorization.

3930129110513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21870, while the sum is 38.

The spelling of 3930129110513 in words is "three trillion, nine hundred thirty billion, one hundred twenty-nine million, one hundred ten thousand, five hundred thirteen".