122003000113 has 8 divisors (see below), whose sum is σ = 122217614696. Its totient is φ = 121788576000.

The previous prime is 122003000107. The next prime is 122003000149. The reversal of 122003000113 is 311000300221.

It can be written as a sum of positive squares in 4 ways, for example, as 26040609 + 121976959504 = 5103^2 + 349252^2 .

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 122003000113 - 2²⁹ = 121466129201 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122003000093 and 122003000102.

It is not an unprimeable number, because it can be changed into a prime (122003006113) 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 7 ways as a sum of consecutive naturals, for example, 1266223 + ... + 1359163.

It is an arithmetic number, because the mean of its divisors is an integer number (15277201837).

Almost surely, 2^122003000113 is an apocalyptic number.

It is an amenable number.

122003000113 is a deficient number, since it is larger than the sum of its proper divisors (214614583).

122003000113 is a wasteful number, since it uses less digits than its factorization.

122003000113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95235.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 122003000113 its reverse (311000300221), we get a palindrome (433003300334).

The spelling of 122003000113 in words is "one hundred twenty-two billion, three million, one hundred thirteen", and thus it is an aban number.