10113132123113 has 16 divisors (see below), whose sum is σ = 10869805393920. Its totient is φ = 9374797472256.

The previous prime is 10113132123089. The next prime is 10113132123131. The reversal of 10113132123113 is 31132123131101.

It is a cyclic number.

It is not a de Polignac number, because 10113132123113 - 2²⁰ = 10113131074537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10113132123163) 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 15 ways as a sum of consecutive naturals, for example, 4774745 + ... + 6559302.

It is an arithmetic number, because the mean of its divisors is an integer number (679362837120).

Almost surely, 2^{10113132123113} is an apocalyptic number.

It is an amenable number.

10113132123113 is a deficient number, since it is larger than the sum of its proper divisors (756673270807).

10113132123113 is a wasteful number, since it uses less digits than its factorization.

10113132123113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11334856.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 10113132123113 its reverse (31132123131101), we get a palindrome (41245255254214).

The spelling of 10113132123113 in words is "ten trillion, one hundred thirteen billion, one hundred thirty-two million, one hundred twenty-three thousand, one hundred thirteen".