4002000113 has 2 divisors, whose sum is σ = 4002000114. Its totient is φ = 4002000112.

The previous prime is 4002000109. The next prime is 4002000137. The reversal of 4002000113 is 3110002004.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4000183009 + 1817104 = 63247^2 + 1348^2 .

It is a cyclic number.

It is not a de Polignac number, because 4002000113 - 2² = 4002000109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4002000094 and 4002000103.

It is not a weakly prime, because it can be changed into another prime (4002000103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2001000056 + 2001000057.

It is an arithmetic number, because the mean of its divisors is an integer number (2001000057).

Almost surely, 2^4002000113 is an apocalyptic number.

It is an amenable number.

4002000113 is a deficient number, since it is larger than the sum of its proper divisors (1).

4002000113 is an equidigital number, since it uses as much as digits as its factorization.

4002000113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 4002000113 is about 63261.3635088590. The cubic root of 4002000113 is about 1587.6655896710.

Adding to 4002000113 its reverse (3110002004), we get a palindrome (7112002117).

The spelling of 4002000113 in words is "four billion, two million, one hundred thirteen", and thus it is an aban number.