100114130120113 has 8 divisors (see below), whose sum is σ = 100132463137896. Its totient is φ = 100095798316800.

The previous prime is 100114130120083. The next prime is 100114130120117. The reversal of 100114130120113 is 311021031411001.

It can be written as a sum of positive squares in 4 ways, for example, as 30342723946929 + 69771406173184 = 5508423^2 + 8352928^2 .

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 100114130120113 - 2³⁷ = 99976691166641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100114130120117) 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, 173614095 + ... + 174189787.

It is an arithmetic number, because the mean of its divisors is an integer number (12516557892237).

Almost surely, 2^{100114130120113} is an apocalyptic number.

It is an amenable number.

100114130120113 is a deficient number, since it is larger than the sum of its proper divisors (18333017783).

100114130120113 is an equidigital number, since it uses as much as digits as its factorization.

100114130120113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607235.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 100114130120113 its reverse (311021031411001), we get a palindrome (411135161531114).

The spelling of 100114130120113 in words is "one hundred trillion, one hundred fourteen billion, one hundred thirty million, one hundred twenty thousand, one hundred thirteen".