2113031221177 has 2 divisors, whose sum is σ = 2113031221178. Its totient is φ = 2113031221176.

The previous prime is 2113031221061. The next prime is 2113031221253. The reversal of 2113031221177 is 7711221303112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2090464872336 + 22566348841 = 1445844^2 + 150221^2 .

It is a cyclic number.

It is not a de Polignac number, because 2113031221177 - 2¹¹ = 2113031219129 is a prime.

It is not a weakly prime, because it can be changed into another prime (2113031231177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056515610588 + 1056515610589.

It is an arithmetic number, because the mean of its divisors is an integer number (1056515610589).

Almost surely, 2^{2113031221177} is an apocalyptic number.

It is an amenable number.

2113031221177 is a deficient number, since it is larger than the sum of its proper divisors (1).

2113031221177 is an equidigital number, since it uses as much as digits as its factorization.

2113031221177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3528, while the sum is 31.

Adding to 2113031221177 its reverse (7711221303112), we get a palindrome (9824252524289).

The spelling of 2113031221177 in words is "two trillion, one hundred thirteen billion, thirty-one million, two hundred twenty-one thousand, one hundred seventy-seven".