100413120113 has 8 divisors (see below), whose sum is σ = 104852060928. Its totient is φ = 95980275424.

The previous prime is 100413120097. The next prime is 100413120133. The reversal of 100413120113 is 311021314001.

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 100413120113 - 2⁴ = 100413120097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100413120091 and 100413120100.

It is not an unprimeable number, because it can be changed into a prime (100413120133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1490345 + ... + 1556262.

It is an arithmetic number, because the mean of its divisors is an integer number (13106507616).

Almost surely, 2^100413120113 is an apocalyptic number.

It is an amenable number.

100413120113 is a deficient number, since it is larger than the sum of its proper divisors (4438940815).

100413120113 is a wasteful number, since it uses less digits than its factorization.

100413120113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048063.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 100413120113 its reverse (311021314001), we get a palindrome (411434434114).

The spelling of 100413120113 in words is "one hundred billion, four hundred thirteen million, one hundred twenty thousand, one hundred thirteen".