1331311213221 has 16 divisors (see below), whose sum is σ = 2020646269440. Its totient is φ = 771774615920.

The previous prime is 1331311213189. The next prime is 1331311213229. The reversal of 1331311213221 is 1223121131331.

It is not a de Polignac number, because 1331311213221 - 2⁵ = 1331311213189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1331311213191 and 1331311213200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331311213229) 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 in 15 ways as a sum of consecutive naturals, for example, 877015851 + ... + 877017368.

It is an arithmetic number, because the mean of its divisors is an integer number (126290391840).

Almost surely, 2^{1331311213221} is an apocalyptic number.

1331311213221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1331311213221 is a deficient number, since it is larger than the sum of its proper divisors (689335056219).

1331311213221 is a wasteful number, since it uses less digits than its factorization.

1331311213221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754033256.

The product of its digits is 648, while the sum is 24.

Adding to 1331311213221 its reverse (1223121131331), we get a palindrome (2554432344552).

The spelling of 1331311213221 in words is "one trillion, three hundred thirty-one billion, three hundred eleven million, two hundred thirteen thousand, two hundred twenty-one".