100210013113 has 8 divisors (see below), whose sum is σ = 114805746560. Its totient is φ = 85684284000.

The previous prime is 100210013107. The next prime is 100210013119. The reversal of 100210013113 is 311310012001.

It is an interprime number because it is at equal distance from previous prime (100210013107) and next prime (100210013119).

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

It is not a de Polignac number, because 100210013113 - 2⁵ = 100210013081 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100210013093 and 100210013102.

It is not an unprimeable number, because it can be changed into a prime (100210013119) 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, 17498013 + ... + 17503738.

It is an arithmetic number, because the mean of its divisors is an integer number (14350718320).

Almost surely, 2^100210013113 is an apocalyptic number.

It is an amenable number.

100210013113 is a deficient number, since it is larger than the sum of its proper divisors (14595733447).

100210013113 is an equidigital number, since it uses as much as digits as its factorization.

100210013113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35002167.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 100210013113 its reverse (311310012001), we get a palindrome (411520025114).

The spelling of 100210013113 in words is "one hundred billion, two hundred ten million, thirteen thousand, one hundred thirteen".