4000010813 has 2 divisors, whose sum is σ = 4000010814. Its totient is φ = 4000010812.

The previous prime is 4000010771. The next prime is 4000010831. The reversal of 4000010813 is 3180100004.

It is a happy number.

Together with next prime (4000010831) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3414999844 + 585010969 = 58438^2 + 24187^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4000010813 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4000010791 and 4000010800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4000012813) 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 as a sum of consecutive naturals, namely, 2000005406 + 2000005407.

It is an arithmetic number, because the mean of its divisors is an integer number (2000005407).

Almost surely, 2^4000010813 is an apocalyptic number.

It is an amenable number.

4000010813 is a deficient number, since it is larger than the sum of its proper divisors (1).

4000010813 is an equidigital number, since it uses as much as digits as its factorization.

4000010813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 4000010813 is about 63245.6386875807. The cubic root of 4000010813 is about 1587.4024823475.

Adding to 4000010813 its reverse (3180100004), we get a palindrome (7180110817).

The spelling of 4000010813 in words is "four billion, ten thousand, eight hundred thirteen".