10142113134321 has 24 divisors (see below), whose sum is σ = 17131897273920. Its totient is φ = 5660714306016.

The previous prime is 10142113134269. The next prime is 10142113134347. The reversal of 10142113134321 is 12343131124101.

10142113134321 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 21 + 1 + 313 + 4 + 321 = 666.

It is not a de Polignac number, because 10142113134321 - 2¹¹ = 10142113132273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10142113134371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1871926626 + ... + 1871932043.

It is an arithmetic number, because the mean of its divisors is an integer number (713829053080).

Almost surely, 2^{10142113134321} is an apocalyptic number.

It is an amenable number.

10142113134321 is a deficient number, since it is larger than the sum of its proper divisors (6989784139599).

10142113134321 is a wasteful number, since it uses less digits than its factorization.

10142113134321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3743858725 (or 3743858722 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 10142113134321 its reverse (12343131124101), we get a palindrome (22485244258422).

The spelling of 10142113134321 in words is "ten trillion, one hundred forty-two billion, one hundred thirteen million, one hundred thirty-four thousand, three hundred twenty-one".