1322133313333 has 12 divisors (see below), whose sum is σ = 1538047268940. Its totient is φ = 1133216263872.

The previous prime is 1322133313327. The next prime is 1322133313339. The reversal of 1322133313333 is 3333133312231.

It is an interprime number because it is at equal distance from previous prime (1322133313327) and next prime (1322133313339).

It can be written as a sum of positive squares in 2 ways, for example, as 426804809809 + 895328503524 = 653303^2 + 946218^2 .

It is not a de Polignac number, because 1322133313333 - 2³⁷ = 1184694359861 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1322133313295 and 1322133313304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322133313339) 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, 927913 + ... + 1872241.

It is an arithmetic number, because the mean of its divisors is an integer number (128170605745).

Almost surely, 2^{1322133313333} is an apocalyptic number.

It is an amenable number.

1322133313333 is a deficient number, since it is larger than the sum of its proper divisors (215913955607).

1322133313333 is an equidigital number, since it uses as much as digits as its factorization.

1322133313333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972916 (or 972909 counting only the distinct ones).

The product of its digits is 26244, while the sum is 31.

Adding to 1322133313333 its reverse (3333133312231), we get a palindrome (4655266625564).

The spelling of 1322133313333 in words is "one trillion, three hundred twenty-two billion, one hundred thirty-three million, three hundred thirteen thousand, three hundred thirty-three".