11331131100209 has 2 divisors, whose sum is σ = 11331131100210. Its totient is φ = 11331131100208.

The previous prime is 11331131100193. The next prime is 11331131100239. The reversal of 11331131100209 is 90200113113311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11313535873600 + 17595226609 = 3363560^2 + 132647^2 .

It is a cyclic number.

It is not a de Polignac number, because 11331131100209 - 2⁴ = 11331131100193 is a prime.

It is not a weakly prime, because it can be changed into another prime (11331131100239) 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, 5665565550104 + 5665565550105.

It is an arithmetic number, because the mean of its divisors is an integer number (5665565550105).

Almost surely, 2^{11331131100209} is an apocalyptic number.

It is an amenable number.

11331131100209 is a deficient number, since it is larger than the sum of its proper divisors (1).

11331131100209 is an equidigital number, since it uses as much as digits as its factorization.

11331131100209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 26.

It can be divided in two parts, 1133113 and 1100209, that added together give a palindrome (2233322).

The spelling of 11331131100209 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, one hundred thousand, two hundred nine".