4032042012013 has 2 divisors, whose sum is σ = 4032042012014. Its totient is φ = 4032042012012.

The previous prime is 4032042012007. The next prime is 4032042012107. The reversal of 4032042012013 is 3102102402304.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3929858217769 + 102183794244 = 1982387^2 + 319662^2 .

It is a cyclic number.

It is not a de Polignac number, because 4032042012013 - 2²⁹ = 4031505141101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4032042010013) 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, 2016021006006 + 2016021006007.

It is an arithmetic number, because the mean of its divisors is an integer number (2016021006007).

Almost surely, 2^{4032042012013} is an apocalyptic number.

It is an amenable number.

4032042012013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4032042012013 is an equidigital number, since it uses as much as digits as its factorization.

4032042012013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 4032042012013 its reverse (3102102402304), we get a palindrome (7134144414317).

The spelling of 4032042012013 in words is "four trillion, thirty-two billion, forty-two million, twelve thousand, thirteen".