10113310100213 has 8 divisors (see below), whose sum is σ = 10242801024000. Its totient is φ = 9983856035088.

The previous prime is 10113310100209. The next prime is 10113310100249. The reversal of 10113310100213 is 31200101331101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10113310100213 - 2² = 10113310100209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10113310100191 and 10113310100200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113310106213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8662181 + ... + 9760122.

It is an arithmetic number, because the mean of its divisors is an integer number (1280350128000).

Almost surely, 2^{10113310100213} is an apocalyptic number.

It is an amenable number.

10113310100213 is a deficient number, since it is larger than the sum of its proper divisors (129490923787).

10113310100213 is an equidigital number, since it uses as much as digits as its factorization.

10113310100213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18429331.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 10113310100213 its reverse (31200101331101), we get a palindrome (41313411431314).

The spelling of 10113310100213 in words is "ten trillion, one hundred thirteen billion, three hundred ten million, one hundred thousand, two hundred thirteen".