1322131310311 has 24 divisors (see below), whose sum is σ = 1544900173056. Its totient is φ = 1128170856960.

The previous prime is 1322131310293. The next prime is 1322131310387. The reversal of 1322131310311 is 1130131312231.

It is not a de Polignac number, because 1322131310311 - 2⁹ = 1322131309799 is a prime.

It is a super-3 number, since 3×1322131310311³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322131350311) 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 23 ways as a sum of consecutive naturals, for example, 14922735 + ... + 15011071.

It is an arithmetic number, because the mean of its divisors is an integer number (64370840544).

Almost surely, 2^{1322131310311} is an apocalyptic number.

1322131310311 is a deficient number, since it is larger than the sum of its proper divisors (222768862745).

1322131310311 is a wasteful number, since it uses less digits than its factorization.

1322131310311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89719 (or 89712 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 1322131310311 its reverse (1130131312231), we get a palindrome (2452262622542).

The spelling of 1322131310311 in words is "one trillion, three hundred twenty-two billion, one hundred thirty-one million, three hundred ten thousand, three hundred eleven".