2112041140213 has 2 divisors, whose sum is σ = 2112041140214. Its totient is φ = 2112041140212.

The previous prime is 2112041140123. The next prime is 2112041140241. The reversal of 2112041140213 is 3120411402112.

Together with previous prime (2112041140123) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1855201995364 + 256839144849 = 1362058^2 + 506793^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2112041140213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112041140243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056020570106 + 1056020570107.

It is an arithmetic number, because the mean of its divisors is an integer number (1056020570107).

Almost surely, 2^{2112041140213} is an apocalyptic number.

It is an amenable number.

2112041140213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112041140213 is an equidigital number, since it uses as much as digits as its factorization.

2112041140213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 2112041140213 its reverse (3120411402112), we get a palindrome (5232452542325).

The spelling of 2112041140213 in words is "two trillion, one hundred twelve billion, forty-one million, one hundred forty thousand, two hundred thirteen".