122210200001313 has 12 divisors (see below), whose sum is σ = 176872653577620. Its totient is φ = 81313400914656.

The previous prime is 122210200001291. The next prime is 122210200001369. The reversal of 122210200001313 is 313100002012221.

122210200001313 is a `hidden beast` number, since 122 + 210 + 20 + 0 + 0 + 0 + 1 + 313 = 666.

122210200001313 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 110718018641169 + 11492181360144 = 10522263^2 + 3390012^2 .

It is not a de Polignac number, because 122210200001313 - 2⁶ = 122210200001249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122210200011313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13338807906 + ... + 13338817067.

It is an arithmetic number, because the mean of its divisors is an integer number (14739387798135).

Almost surely, 2^{122210200001313} is an apocalyptic number.

It is an amenable number.

122210200001313 is a deficient number, since it is larger than the sum of its proper divisors (54662453576307).

122210200001313 is a wasteful number, since it uses less digits than its factorization.

122210200001313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26677625488 (or 26677625485 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122210200001313 its reverse (313100002012221), we get a palindrome (435310202013534).

The spelling of 122210200001313 in words is "one hundred twenty-two trillion, two hundred ten billion, two hundred million, one thousand, three hundred thirteen".