121100013 has 12 divisors (see below), whose sum is σ = 175485180. Its totient is φ = 80473536.

The previous prime is 121100011. The next prime is 121100017. The reversal of 121100013 is 310001121.

It can be written as a sum of positive squares in 2 ways, for example, as 19554084 + 101545929 = 4422^2 + 10077^2 .

It is not a de Polignac number, because 121100013 - 2¹ = 121100011 is a prime.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 121099968 and 121100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121100011) 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 11 ways as a sum of consecutive naturals, for example, 18678 + ... + 24311.

It is an arithmetic number, because the mean of its divisors is an integer number (14623765).

Almost surely, 2^121100013 is an apocalyptic number.

It is an amenable number.

121100013 is a deficient number, since it is larger than the sum of its proper divisors (54385167).

121100013 is a wasteful number, since it uses less digits than its factorization.

121100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43308 (or 43305 counting only the distinct ones).

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

The square root of 121100013 is about 11004.5451064549. The cubic root of 121100013 is about 494.7449803620.

Adding to 121100013 its reverse (310001121), we get a palindrome (431101134).

The spelling of 121100013 in words is "one hundred twenty-one million, one hundred thousand, thirteen".