11331033313121 has 2 divisors, whose sum is σ = 11331033313122. Its totient is φ = 11331033313120.

The previous prime is 11331033313109. The next prime is 11331033313129. The reversal of 11331033313121 is 12131333013311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7967697389521 + 3363335923600 = 2822711^2 + 1833940^2 .

It is a cyclic number.

It is not a de Polignac number, because 11331033313121 - 2¹⁸ = 11331033050977 is a prime.

It is not a weakly prime, because it can be changed into another prime (11331033313129) 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, 5665516656560 + 5665516656561.

It is an arithmetic number, because the mean of its divisors is an integer number (5665516656561).

Almost surely, 2^{11331033313121} is an apocalyptic number.

It is an amenable number.

11331033313121 is a deficient number, since it is larger than the sum of its proper divisors (1).

11331033313121 is an equidigital number, since it uses as much as digits as its factorization.

11331033313121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 26.

Adding to 11331033313121 its reverse (12131333013311), we get a palindrome (23462366326432).

The spelling of 11331033313121 in words is "eleven trillion, three hundred thirty-one billion, thirty-three million, three hundred thirteen thousand, one hundred twenty-one".