10140442100013 has 16 divisors (see below), whose sum is σ = 13546908449280. Its totient is φ = 6747136135344.

The previous prime is 10140442099933. The next prime is 10140442100029. The reversal of 10140442100013 is 31000124404101.

It is not a de Polignac number, because 10140442100013 - 2²⁵ = 10140408545581 is a prime.

It is a super-2 number, since 2×10140442100013² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140442100053) 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, 53695768 + ... + 53884286.

It is an arithmetic number, because the mean of its divisors is an integer number (846681778080).

Almost surely, 2^{10140442100013} is an apocalyptic number.

It is an amenable number.

10140442100013 is a deficient number, since it is larger than the sum of its proper divisors (3406466349267).

10140442100013 is a wasteful number, since it uses less digits than its factorization.

10140442100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223328.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10140442100013 its reverse (31000124404101), we get a palindrome (41140566504114).

The spelling of 10140442100013 in words is "ten trillion, one hundred forty billion, four hundred forty-two million, one hundred thousand, thirteen".