2213312101331 has 2 divisors, whose sum is σ = 2213312101332. Its totient is φ = 2213312101330.

The previous prime is 2213312101261. The next prime is 2213312101333. The reversal of 2213312101331 is 1331012133122.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2213312101331 is a prime.

It is a super-2 number, since 2×2213312101331² (a number of 25 digits) contains 22 as substring.

Together with 2213312101333, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2213312101297 and 2213312101306.

It is not a weakly prime, because it can be changed into another prime (2213312101333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106656050665 + 1106656050666.

It is an arithmetic number, because the mean of its divisors is an integer number (1106656050666).

Almost surely, 2^{2213312101331} is an apocalyptic number.

2213312101331 is a deficient number, since it is larger than the sum of its proper divisors (1).

2213312101331 is an equidigital number, since it uses as much as digits as its factorization.

2213312101331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 2213312101331 its reverse (1331012133122), we get a palindrome (3544324234453).

The spelling of 2213312101331 in words is "two trillion, two hundred thirteen billion, three hundred twelve million, one hundred one thousand, three hundred thirty-one".