10111210010113 has 8 divisors (see below), whose sum is σ = 10118607760800. Its totient is φ = 10103814208800.

The previous prime is 10111210010101. The next prime is 10111210010117. The reversal of 10111210010113 is 31101001211101.

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 10111210010113 - 2¹⁷ = 10111209879041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10111210010093 and 10111210010102.

It is not an unprimeable number, because it can be changed into a prime (10111210010117) 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 7 ways as a sum of consecutive naturals, for example, 9972213 + ... + 10939261.

It is an arithmetic number, because the mean of its divisors is an integer number (1264825970100).

Almost surely, 2^{10111210010113} is an apocalyptic number.

It is an amenable number.

10111210010113 is a deficient number, since it is larger than the sum of its proper divisors (7397750687).

10111210010113 is an equidigital number, since it uses as much as digits as its factorization.

10111210010113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974687.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 10111210010113 its reverse (31101001211101), we get a palindrome (41212211221214).

The spelling of 10111210010113 in words is "ten trillion, one hundred eleven billion, two hundred ten million, ten thousand, one hundred thirteen".