1322331121331 has 16 divisors (see below), whose sum is σ = 1481713043328. Its totient is φ = 1169909875200.

The previous prime is 1322331121303. The next prime is 1322331121337. The reversal of 1322331121331 is 1331211332231.

It is a de Polignac number, because none of the positive numbers 2^k-1322331121331 is a prime.

It is a super-2 number, since 2×1322331121331² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1322331121331.

It is not an unprimeable number, because it can be changed into a prime (1322331121337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10747310 + ... + 10869651.

It is an arithmetic number, because the mean of its divisors is an integer number (92607065208).

Almost surely, 2^{1322331121331} is an apocalyptic number.

1322331121331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1322331121331 is a deficient number, since it is larger than the sum of its proper divisors (159381921997).

1322331121331 is a wasteful number, since it uses less digits than its factorization.

1322331121331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21617122.

The product of its digits is 1944, while the sum is 26.

Adding to 1322331121331 its reverse (1331211332231), we get a palindrome (2653542453562).

The spelling of 1322331121331 in words is "one trillion, three hundred twenty-two billion, three hundred thirty-one million, one hundred twenty-one thousand, three hundred thirty-one".