114442134400113 has 8 divisors (see below), whose sum is σ = 164327167343808. Its totient is φ = 70425928861584.

The previous prime is 114442134400073. The next prime is 114442134400147. The reversal of 114442134400113 is 311004431244411.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 114442134400113 - 2²⁹ = 114441597529201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114442134400613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1467206851245 + ... + 1467206851322.

It is an arithmetic number, because the mean of its divisors is an integer number (20540895917976).

Almost surely, 2^{114442134400113} is an apocalyptic number.

114442134400113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

114442134400113 is a deficient number, since it is larger than the sum of its proper divisors (49885032943695).

114442134400113 is a wasteful number, since it uses less digits than its factorization.

114442134400113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2934413702583.

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 114442134400113 its reverse (311004431244411), we get a palindrome (425446565644524).

The spelling of 114442134400113 in words is "one hundred fourteen trillion, four hundred forty-two billion, one hundred thirty-four million, four hundred thousand, one hundred thirteen".