1322321131313 has 12 divisors (see below), whose sum is σ = 1656534165300. Its totient is φ = 1046232103392.

The previous prime is 1322321131297. The next prime is 1322321131319. The reversal of 1322321131313 is 3131311232231.

It can be written as a sum of positive squares in 2 ways, for example, as 752889406864 + 569431724449 = 867692^2 + 754607^2 .

It is not a de Polignac number, because 1322321131313 - 2⁴ = 1322321131297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1322321131319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1037928038 + ... + 1037929311.

It is an arithmetic number, because the mean of its divisors is an integer number (138044513775).

Almost surely, 2^{1322321131313} is an apocalyptic number.

1322321131313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1322321131313 is a deficient number, since it is larger than the sum of its proper divisors (334213033987).

1322321131313 is a wasteful number, since it uses less digits than its factorization.

1322321131313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075857376 (or 2075857369 counting only the distinct ones).

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

Adding to 1322321131313 its reverse (3131311232231), we get a palindrome (4453632363544).

The spelling of 1322321131313 in words is "one trillion, three hundred twenty-two billion, three hundred twenty-one million, one hundred thirty-one thousand, three hundred thirteen".