100002013013123 has 8 divisors (see below), whose sum is σ = 107694592153008. Its totient is φ = 92309450530464.

The previous prime is 100002013013117. The next prime is 100002013013137. The reversal of 100002013013123 is 321310310200001.

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 100002013013123 - 2²⁸ = 100001744577667 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100002013019123) 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 7 ways as a sum of consecutive naturals, for example, 10119065 + ... + 17389637.

It is an arithmetic number, because the mean of its divisors is an integer number (13461824019126).

Almost surely, 2^{100002013013123} is an apocalyptic number.

100002013013123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100002013013123 is a deficient number, since it is larger than the sum of its proper divisors (7692579139885).

100002013013123 is a wasteful number, since it uses less digits than its factorization.

100002013013123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8328613.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 100002013013123 its reverse (321310310200001), we get a palindrome (421312323213124).

The spelling of 100002013013123 in words is "one hundred trillion, two billion, thirteen million, thirteen thousand, one hundred twenty-three".