4000010013 has 16 divisors (see below), whose sum is σ = 5946891840. Its totient is φ = 2657245392.

The previous prime is 4000010009. The next prime is 4000010041. The reversal of 4000010013 is 3100100004.

It is not a de Polignac number, because 4000010013 - 2² = 4000010009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4000009977 and 4000010004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000010813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254106 + ... + 269387.

It is an arithmetic number, because the mean of its divisors is an integer number (371680740).

Almost surely, 2^4000010013 is an apocalyptic number.

It is an amenable number.

4000010013 is a deficient number, since it is larger than the sum of its proper divisors (1946881827).

4000010013 is a wasteful number, since it uses less digits than its factorization.

4000010013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523785 (or 523779 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 4000010013 is about 63245.6323630336. The cubic root of 4000010013 is about 1587.4023765210.

Adding to 4000010013 its reverse (3100100004), we get a palindrome (7100110017).

The spelling of 4000010013 in words is "four billion, ten thousand, thirteen".