3011131222241 has 2 divisors, whose sum is σ = 3011131222242. Its totient is φ = 3011131222240.

The previous prime is 3011131222133. The next prime is 3011131222247. The reversal of 3011131222241 is 1422221311103.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1682413932241 + 1328717290000 = 1297079^2 + 1152700^2 .

It is an emirp because it is prime and its reverse (1422221311103) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3011131222241 is a prime.

It is a super-2 number, since 2×3011131222241² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3011131222247) 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, 1505565611120 + 1505565611121.

It is an arithmetic number, because the mean of its divisors is an integer number (1505565611121).

Almost surely, 2^{3011131222241} is an apocalyptic number.

It is an amenable number.

3011131222241 is a deficient number, since it is larger than the sum of its proper divisors (1).

3011131222241 is an equidigital number, since it uses as much as digits as its factorization.

3011131222241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 3011131222241 its reverse (1422221311103), we get a palindrome (4433352533344).

The spelling of 3011131222241 in words is "three trillion, eleven billion, one hundred thirty-one million, two hundred twenty-two thousand, two hundred forty-one".