122100313013 has 16 divisors (see below), whose sum is σ = 140021352960. Its totient is φ = 104298990336.

The previous prime is 122100313007. The next prime is 122100313019. The reversal of 122100313013 is 310313001221.

It is an interprime number because it is at equal distance from previous prime (122100313007) and next prime (122100313019).

It is a cyclic number.

It is not a de Polignac number, because 122100313013 - 2³⁶ = 53380836277 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122100312982 and 122100313000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122100313019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14869853 + ... + 14878061.

It is an arithmetic number, because the mean of its divisors is an integer number (8751334560).

Almost surely, 2^122100313013 is an apocalyptic number.

It is an amenable number.

122100313013 is a deficient number, since it is larger than the sum of its proper divisors (17921039947).

122100313013 is an equidigital number, since it uses as much as digits as its factorization.

122100313013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15236.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 122100313013 its reverse (310313001221), we get a palindrome (432413314234).

The spelling of 122100313013 in words is "one hundred twenty-two billion, one hundred million, three hundred thirteen thousand, thirteen".