4034130441013 has 2 divisors, whose sum is σ = 4034130441014. Its totient is φ = 4034130441012.

The previous prime is 4034130440993. The next prime is 4034130441017. The reversal of 4034130441013 is 3101440314304.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3129849263044 + 904281177969 = 1769138^2 + 950937^2 .

It is a cyclic number.

It is not a de Polignac number, because 4034130441013 - 2²⁵ = 4034096886581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4034130441017) 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, 2017065220506 + 2017065220507.

It is an arithmetic number, because the mean of its divisors is an integer number (2017065220507).

Almost surely, 2^{4034130441013} is an apocalyptic number.

It is an amenable number.

4034130441013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4034130441013 is an equidigital number, since it uses as much as digits as its factorization.

4034130441013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 4034130441013 its reverse (3101440314304), we get a palindrome (7135570755317).

The spelling of 4034130441013 in words is "four trillion, thirty-four billion, one hundred thirty million, four hundred forty-one thousand, thirteen".