1200100113 has 6 divisors (see below), whose sum is σ = 1733477954. Its totient is φ = 800066736.

The previous prime is 1200100081. The next prime is 1200100129. The reversal of 1200100113 is 3110010021.

It can be written as a sum of positive squares in only one way, i.e., 1042773264 + 157326849 = 32292^2 + 12543^2 .

It is not a de Polignac number, because 1200100113 - 2⁵ = 1200100081 is a prime.

It is a super-2 number, since 2×1200100113² = 2880480562445225538, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 133344457 = 1200100113 / (1 + 2 + 0 + 0 + 1 + 0 + 0 + 1 + 1 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1200100095 and 1200100104.

It is not an unprimeable number, because it can be changed into a prime (1200120113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66672220 + ... + 66672237.

Almost surely, 2^1200100113 is an apocalyptic number.

It is an amenable number.

1200100113 is a deficient number, since it is larger than the sum of its proper divisors (533377841).

1200100113 is a wasteful number, since it uses less digits than its factorization.

1200100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133344463 (or 133344460 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1200100113 is about 34642.4611279280. The cubic root of 1200100113 is about 1062.6881200101.

Adding to 1200100113 its reverse (3110010021), we get a palindrome (4310110134).

The spelling of 1200100113 in words is "one billion, two hundred million, one hundred thousand, one hundred thirteen".