10000213009 has 2 divisors, whose sum is σ = 10000213010. Its totient is φ = 10000213008.

The previous prime is 10000213007. The next prime is 10000213051. The reversal of 10000213009 is 90031200001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8506003984 + 1494209025 = 92228^2 + 38655^2 .

It is an emirp because it is prime and its reverse (90031200001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10000213009 - 2¹ = 10000213007 is a prime.

Together with 10000213007, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 10000212983 and 10000213001.

It is not a weakly prime, because it can be changed into another prime (10000213007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000106504 + 5000106505.

It is an arithmetic number, because the mean of its divisors is an integer number (5000106505).

Almost surely, 2^10000213009 is an apocalyptic number.

It is an amenable number.

10000213009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000213009 is an equidigital number, since it uses as much as digits as its factorization.

10000213009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 16.

The spelling of 10000213009 in words is "ten billion, two hundred thirteen thousand, nine".