10111002012113 has 8 divisors (see below), whose sum is σ = 10563218219880. Its totient is φ = 9665689868800.

The previous prime is 10111002012061. The next prime is 10111002012119. The reversal of 10111002012113 is 31121020011101.

10111002012113 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 4 ways, for example, as 3020407636624 + 7090594375489 = 1737932^2 + 2662817^2 .

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 10111002012113 - 2⁸ = 10111002011857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10111002012119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1726013120 + ... + 1726018977.

It is an arithmetic number, because the mean of its divisors is an integer number (1320402277485).

Almost surely, 2^{10111002012113} is an apocalyptic number.

It is an amenable number.

10111002012113 is a deficient number, since it is larger than the sum of its proper divisors (452216207767).

10111002012113 is a wasteful number, since it uses less digits than its factorization.

10111002012113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3452032227.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 10111002012113 its reverse (31121020011101), we get a palindrome (41232022023214).

The spelling of 10111002012113 in words is "ten trillion, one hundred eleven billion, two million, twelve thousand, one hundred thirteen".