4000113013 has 4 divisors (see below), whose sum is σ = 4307814028. Its totient is φ = 3692412000.

The previous prime is 4000112983. The next prime is 4000113017. The reversal of 4000113013 is 3103110004.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 516516529 + 3483596484 = 22727^2 + 59022^2 .

It is a cyclic number.

It is not a de Polignac number, because 4000113013 - 2⁵ = 4000112981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13), and also a Moran number because the ratio is a prime number: 307701001 = 4000113013 / (4 + 0 + 0 + 0 + 1 + 1 + 3 + 0 + 1 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4000112984 and 4000113002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000113017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 153850488 + ... + 153850513.

It is an arithmetic number, because the mean of its divisors is an integer number (1076953507).

Almost surely, 2^4000113013 is an apocalyptic number.

It is an amenable number.

4000113013 is a deficient number, since it is larger than the sum of its proper divisors (307701015).

4000113013 is a wasteful number, since it uses less digits than its factorization.

4000113013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307701014.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 4000113013 is about 63246.4466432700. The cubic root of 4000113013 is about 1587.4160015737.

Adding to 4000113013 its reverse (3103110004), we get a palindrome (7103223017).

The spelling of 4000113013 in words is "four billion, one hundred thirteen thousand, thirteen".