100033100113 has 8 divisors (see below), whose sum is σ = 102581821440. Its totient is φ = 97516040160.

The previous prime is 100033100093. The next prime is 100033100161. The reversal of 100033100113 is 311001330001.

It is a happy number.

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 100033100113 - 2²⁹ = 99496229201 is a prime.

It is a super-2 number, since 2×100033100113² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100033100093 and 100033100102.

It is not an unprimeable number, because it can be changed into a prime (100033100413) 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, 7908945 + ... + 7921582.

It is an arithmetic number, because the mean of its divisors is an integer number (12822727680).

Almost surely, 2^100033100113 is an apocalyptic number.

It is an amenable number.

100033100113 is a deficient number, since it is larger than the sum of its proper divisors (2548721327).

100033100113 is an equidigital number, since it uses as much as digits as its factorization.

100033100113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15830687.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 100033100113 its reverse (311001330001), we get a palindrome (411034430114).

The spelling of 100033100113 in words is "one hundred billion, thirty-three million, one hundred thousand, one hundred thirteen".