10210000013 has 4 divisors (see below), whose sum is σ = 10210556028. Its totient is φ = 10209444000.

The previous prime is 10209999991. The next prime is 10210000051. The reversal of 10210000013 is 31000001201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 2224254244 + 7985745769 = 47162^2 + 89363^2 .

It is a cyclic number.

It is not a de Polignac number, because 10210000013 - 2¹⁰ = 10209998989 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210000093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 249488 + ... + 287513.

It is an arithmetic number, because the mean of its divisors is an integer number (2552639007).

Almost surely, 2^10210000013 is an apocalyptic number.

It is an amenable number.

10210000013 is a deficient number, since it is larger than the sum of its proper divisors (556015).

10210000013 is an equidigital number, since it uses as much as digits as its factorization.

10210000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556014.

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 10210000013 its reverse (31000001201), we get a palindrome (41210001214).

The spelling of 10210000013 in words is "ten billion, two hundred ten million, thirteen", and thus it is an aban number.