2221312113133 has 2 divisors, whose sum is σ = 2221312113134. Its totient is φ = 2221312113132.

The previous prime is 2221312113127. The next prime is 2221312113193. The reversal of 2221312113133 is 3313112131222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1444618897929 + 776693215204 = 1201923^2 + 881302^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221312113133 - 2¹⁷ = 2221311982061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2221312113098 and 2221312113107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2221312113193) 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, 1110656056566 + 1110656056567.

It is an arithmetic number, because the mean of its divisors is an integer number (1110656056567).

Almost surely, 2^{2221312113133} is an apocalyptic number.

It is an amenable number.

2221312113133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221312113133 is an equidigital number, since it uses as much as digits as its factorization.

2221312113133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 25.

Adding to 2221312113133 its reverse (3313112131222), we get a palindrome (5534424244355).

The spelling of 2221312113133 in words is "two trillion, two hundred twenty-one billion, three hundred twelve million, one hundred thirteen thousand, one hundred thirty-three".