10000913 has 18 divisors (see below), whose sum is σ = 11664054. Its totient is φ = 8541312.

The previous prime is 10000891. The next prime is 10000931. The reversal of 10000913 is 31900001.

It can be written as a sum of positive squares in 3 ways, for example, as 222784 + 9778129 = 472^2 + 3127^2 .

It is not a de Polignac number, because 10000913 - 2⁶ = 10000849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000943) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 169478 + ... + 169536.

It is an arithmetic number, because the mean of its divisors is an integer number (648003).

Almost surely, 2^10000913 is an apocalyptic number.

10000913 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10000913 is a deficient number, since it is larger than the sum of its proper divisors (1663141).

10000913 is an equidigital number, since it uses as much as digits as its factorization.

10000913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 10000913 is about 3162.4220148487. The cubic root of 10000913 is about 215.4500254666.

Adding to 10000913 its reverse (31900001), we get a palindrome (41900914).

The spelling of 10000913 in words is "ten million, nine hundred thirteen", and thus it is an aban number.