10001813 has 2 divisors, whose sum is σ = 10001814. Its totient is φ = 10001812.

The previous prime is 10001807. The next prime is 10001819. The reversal of 10001813 is 31810001.

10001813 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (10001807) and next prime (10001819).

It can be written as a sum of positive squares in only one way, i.e., 8254129 + 1747684 = 2873^2 + 1322^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001813 - 2¹⁰ = 10000789 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000906 + 5000907.

It is an arithmetic number, because the mean of its divisors is an integer number (5000907).

Almost surely, 2^10001813 is an apocalyptic number.

It is an amenable number.

10001813 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001813 is an equidigital number, since it uses as much as digits as its factorization.

10001813 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 14.

The square root of 10001813 is about 3162.5643076466. The cubic root of 10001813 is about 215.4564881834.

Adding to 10001813 its reverse (31810001), we get a palindrome (41811814).

The spelling of 10001813 in words is "ten million, one thousand, eight hundred thirteen".