10042110013 has 8 divisors (see below), whose sum is σ = 10975992608. Its totient is φ = 9131286384.

The previous prime is 10042110011. The next prime is 10042110041. The reversal of 10042110013 is 31001124001.

10042110013 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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 10042110013 - 2¹ = 10042110011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10042109975 and 10042110002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042110011) 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, 5763831 + ... + 5765572.

It is an arithmetic number, because the mean of its divisors is an integer number (1371999076).

Almost surely, 2^10042110013 is an apocalyptic number.

10042110013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10042110013 is a deficient number, since it is larger than the sum of its proper divisors (933882595).

10042110013 is a wasteful number, since it uses less digits than its factorization.

10042110013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11529483.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10042110013 its reverse (31001124001), we get a palindrome (41043234014).

The spelling of 10042110013 in words is "ten billion, forty-two million, one hundred ten thousand, thirteen".