1311101166221 has 32 divisors (see below), whose sum is σ = 1738535436288. Its totient is φ = 957228906240.

The previous prime is 1311101166197. The next prime is 1311101166223. The reversal of 1311101166221 is 1226611011131.

It is not a de Polignac number, because 1311101166221 - 2¹⁰ = 1311101165197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311101166223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1953845 + ... + 2537658.

It is an arithmetic number, because the mean of its divisors is an integer number (54329232384).

Almost surely, 2^{1311101166221} is an apocalyptic number.

1311101166221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1311101166221 is a deficient number, since it is larger than the sum of its proper divisors (427434270067).

1311101166221 is a wasteful number, since it uses less digits than its factorization.

1311101166221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4491761.

The product of its (nonzero) digits is 432, while the sum is 26.

Adding to 1311101166221 its reverse (1226611011131), we get a palindrome (2537712177352).

The spelling of 1311101166221 in words is "one trillion, three hundred eleven billion, one hundred one million, one hundred sixty-six thousand, two hundred twenty-one".