11331131312041 has 2 divisors, whose sum is σ = 11331131312042. Its totient is φ = 11331131312040.

The previous prime is 11331131312027. The next prime is 11331131312071. The reversal of 11331131312041 is 14021313113311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9566030410000 + 1765100902041 = 3092900^2 + 1328571^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11331131312041 is a prime.

It is a super-2 number, since 2×11331131312041² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11331131311997 and 11331131312015.

It is not a weakly prime, because it can be changed into another prime (11331131312071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5665565656020 + 5665565656021.

It is an arithmetic number, because the mean of its divisors is an integer number (5665565656021).

Almost surely, 2^{11331131312041} is an apocalyptic number.

It is an amenable number.

11331131312041 is a deficient number, since it is larger than the sum of its proper divisors (1).

11331131312041 is an equidigital number, since it uses as much as digits as its factorization.

11331131312041 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 25.

Adding to 11331131312041 its reverse (14021313113311), we get a palindrome (25352444425352).

The spelling of 11331131312041 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, three hundred twelve thousand, forty-one".