10000120333213 has 16 divisors (see below), whose sum is σ = 10202438450736. Its totient is φ = 9798314273280.

The previous prime is 10000120333199. The next prime is 10000120333237. The reversal of 10000120333213 is 31233302100001.

10000120333213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4654901180484 + 5345219152729 = 2157522^2 + 2311973^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000120333213 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 (10000120333253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157815945 + ... + 157879297.

It is an arithmetic number, because the mean of its divisors is an integer number (637652403171).

Almost surely, 2^{10000120333213} is an apocalyptic number.

It is an amenable number.

10000120333213 is a deficient number, since it is larger than the sum of its proper divisors (202318117523).

10000120333213 is a wasteful number, since it uses less digits than its factorization.

10000120333213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67344.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 10000120333213 its reverse (31233302100001), we get a palindrome (41233422433214).

The spelling of 10000120333213 in words is "ten trillion, one hundred twenty million, three hundred thirty-three thousand, two hundred thirteen".