12200100010013 has 2 divisors, whose sum is σ = 12200100010014. Its totient is φ = 12200100010012.

The previous prime is 12200100009989. The next prime is 12200100010051. The reversal of 12200100010013 is 31001000100221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11143065163129 + 1057034846884 = 3338123^2 + 1028122^2 .

It is a cyclic number.

It is not a de Polignac number, because 12200100010013 - 2⁶ = 12200100009949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12200100009976 and 12200100010003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12200100010513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100050005006 + 6100050005007.

It is an arithmetic number, because the mean of its divisors is an integer number (6100050005007).

Almost surely, 2^{12200100010013} is an apocalyptic number.

It is an amenable number.

12200100010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200100010013 is an equidigital number, since it uses as much as digits as its factorization.

12200100010013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 12200100010013 its reverse (31001000100221), we get a palindrome (43201100110234).

The spelling of 12200100010013 in words is "twelve trillion, two hundred billion, one hundred million, ten thousand, thirteen".