22111111332313 has 2 divisors, whose sum is σ = 22111111332314. Its totient is φ = 22111111332312.

The previous prime is 22111111332217. The next prime is 22111111332337. The reversal of 22111111332313 is 31323311111122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19561938260544 + 2549173071769 = 4422888^2 + 1596613^2 .

It is a cyclic number.

It is not a de Polignac number, because 22111111332313 - 2³⁷ = 21973672378841 is a prime.

It is not a weakly prime, because it can be changed into another prime (22111111333313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11055555666156 + 11055555666157.

It is an arithmetic number, because the mean of its divisors is an integer number (11055555666157).

Almost surely, 2^{22111111332313} is an apocalyptic number.

It is an amenable number.

22111111332313 is a deficient number, since it is larger than the sum of its proper divisors (1).

22111111332313 is an equidigital number, since it uses as much as digits as its factorization.

22111111332313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 648, while the sum is 25.

Adding to 22111111332313 its reverse (31323311111122), we get a palindrome (53434422443435).

The spelling of 22111111332313 in words is "twenty-two trillion, one hundred eleven billion, one hundred eleven million, three hundred thirty-two thousand, three hundred thirteen".