10442121410113 has 8 divisors (see below), whose sum is σ = 11056412922408. Its totient is φ = 9827835350784.

The previous prime is 10442121410111. The next prime is 10442121410131. The reversal of 10442121410113 is 31101412124401.

It can be written as a sum of positive squares in 4 ways, for example, as 2465631674289 + 7976489735824 = 1570233^2 + 2824268^2 .

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 10442121410113 - 2¹ = 10442121410111 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10442121410111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2973495 + ... + 5452147.

It is an arithmetic number, because the mean of its divisors is an integer number (1382051615301).

Almost surely, 2^{10442121410113} is an apocalyptic number.

It is an amenable number.

10442121410113 is a deficient number, since it is larger than the sum of its proper divisors (614291512295).

10442121410113 is a wasteful number, since it uses less digits than its factorization.

10442121410113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726483.

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 10442121410113 its reverse (31101412124401), we get a palindrome (41543533534514).

The spelling of 10442121410113 in words is "ten trillion, four hundred forty-two billion, one hundred twenty-one million, four hundred ten thousand, one hundred thirteen".