2113322137681 has 2 divisors, whose sum is σ = 2113322137682. Its totient is φ = 2113322137680.

The previous prime is 2113322137673. The next prime is 2113322137687. The reversal of 2113322137681 is 1867312233112.

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., 1413114675025 + 700207462656 = 1188745^2 + 836784^2 .

It is a cyclic number.

It is not a de Polignac number, because 2113322137681 - 2³ = 2113322137673 is a prime.

It is a super-2 number, since 2×2113322137681² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2113322137687) 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, 1056661068840 + 1056661068841.

It is an arithmetic number, because the mean of its divisors is an integer number (1056661068841).

Almost surely, 2^{2113322137681} is an apocalyptic number.

It is an amenable number.

2113322137681 is a deficient number, since it is larger than the sum of its proper divisors (1).

2113322137681 is an equidigital number, since it uses as much as digits as its factorization.

2113322137681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72576, while the sum is 40.

The spelling of 2113322137681 in words is "two trillion, one hundred thirteen billion, three hundred twenty-two million, one hundred thirty-seven thousand, six hundred eighty-one".