10002001213 has 4 divisors (see below), whose sum is σ = 10165968508. Its totient is φ = 9838033920.

The previous prime is 10002001181. The next prime is 10002001253. The reversal of 10002001213 is 31210020001.

10002001213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31210020001 = 45197 ⋅690533.

It can be written as a sum of positive squares in 2 ways, for example, as 2338399449 + 7663601764 = 48357^2 + 87542^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002001213 - 2⁵ = 10002001181 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10002001213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002001253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81983556 + ... + 81983677.

It is an arithmetic number, because the mean of its divisors is an integer number (2541492127).

Almost surely, 2^10002001213 is an apocalyptic number.

It is an amenable number.

10002001213 is a deficient number, since it is larger than the sum of its proper divisors (163967295).

10002001213 is an equidigital number, since it uses as much as digits as its factorization.

10002001213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163967294.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10002001213 its reverse (31210020001), we get a palindrome (41212021214).

The spelling of 10002001213 in words is "ten billion, two million, one thousand, two hundred thirteen".