2205013131193 has 2 divisors, whose sum is σ = 2205013131194. Its totient is φ = 2205013131192.

The previous prime is 2205013131173. The next prime is 2205013131263. The reversal of 2205013131193 is 3911313105022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2147713698064 + 57299433129 = 1465508^2 + 239373^2 .

It is a cyclic number.

It is not a de Polignac number, because 2205013131193 - 2²¹ = 2205011034041 is a prime.

It is not a weakly prime, because it can be changed into another prime (2205013131143) 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 as a sum of consecutive naturals, namely, 1102506565596 + 1102506565597.

It is an arithmetic number, because the mean of its divisors is an integer number (1102506565597).

Almost surely, 2^{2205013131193} is an apocalyptic number.

It is an amenable number.

2205013131193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2205013131193 is an equidigital number, since it uses as much as digits as its factorization.

2205013131193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4860, while the sum is 31.

The spelling of 2205013131193 in words is "two trillion, two hundred five billion, thirteen million, one hundred thirty-one thousand, one hundred ninety-three".