121000113 has 72 divisors (see below), whose sum is σ = 205545600. Its totient is φ = 68335488.

The previous prime is 121000049. The next prime is 121000123. The reversal of 121000113 is 311000121.

It is not a de Polignac number, because 121000113 - 2⁶ = 121000049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 121000095 and 121000104.

It is not an unprimeable number, because it can be changed into a prime (121000123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1531608 + ... + 1531686.

It is an arithmetic number, because the mean of its divisors is an integer number (2854800).

Almost surely, 2^121000113 is an apocalyptic number.

121000113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

121000113 is a deficient number, since it is larger than the sum of its proper divisors (84545487).

121000113 is a wasteful number, since it uses less digits than its factorization.

121000113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 167 counting only the distinct ones).

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

The square root of 121000113 is about 11000.0051363624. The cubic root of 121000113 is about 494.6088982939.

Adding to 121000113 its reverse (311000121), we get a palindrome (432000234).

The spelling of 121000113 in words is "one hundred twenty-one million, one hundred thirteen", and thus it is an aban number.