4042200314113 has 8 divisors (see below), whose sum is σ = 4357402417256. Its totient is φ = 3727607299200.

The previous prime is 4042200314101. The next prime is 4042200314153. The reversal of 4042200314113 is 3114130022404.

4042200314113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 22203384064 + 4019996930049 = 149008^2 + 2004993^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4042200314113 - 2²⁹ = 4041663443201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4042200314153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152258268 + ... + 152284813.

It is an arithmetic number, because the mean of its divisors is an integer number (544675302157).

Almost surely, 2^{4042200314113} is an apocalyptic number.

It is an amenable number.

4042200314113 is a deficient number, since it is larger than the sum of its proper divisors (315202103143).

4042200314113 is a wasteful number, since it uses less digits than its factorization.

4042200314113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304544115.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 4042200314113 its reverse (3114130022404), we get a palindrome (7156330336517).

The spelling of 4042200314113 in words is "four trillion, forty-two billion, two hundred million, three hundred fourteen thousand, one hundred thirteen".