10120242113 has 16 divisors (see below), whose sum is σ = 10509903360. Its totient is φ = 9734688000.

The previous prime is 10120242107. The next prime is 10120242131. The reversal of 10120242113 is 31124202101.

10120242113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10120242113 - 2¹² = 10120238017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10120242091 and 10120242100.

It is not an unprimeable number, because it can be changed into a prime (10120242133) 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 15 ways as a sum of consecutive naturals, for example, 8425913 + ... + 8427113.

It is an arithmetic number, because the mean of its divisors is an integer number (656868960).

Almost surely, 2^10120242113 is an apocalyptic number.

It is an amenable number.

10120242113 is a deficient number, since it is larger than the sum of its proper divisors (389661247).

10120242113 is a wasteful number, since it uses less digits than its factorization.

10120242113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2648.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10120242113 its reverse (31124202101), we get a palindrome (41244444214).

The spelling of 10120242113 in words is "ten billion, one hundred twenty million, two hundred forty-two thousand, one hundred thirteen".