1322133231313 has 2 divisors, whose sum is σ = 1322133231314. Its totient is φ = 1322133231312.

The previous prime is 1322133231257. The next prime is 1322133231329. The reversal of 1322133231313 is 3131323312231.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1215499635009 + 106633596304 = 1102497^2 + 326548^2 .

It is a cyclic number.

It is not a de Polignac number, because 1322133231313 - 2¹⁷ = 1322133100241 is a prime.

It is not a weakly prime, because it can be changed into another prime (1322133231413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 661066615656 + 661066615657.

It is an arithmetic number, because the mean of its divisors is an integer number (661066615657).

Almost surely, 2^{1322133231313} is an apocalyptic number.

It is an amenable number.

1322133231313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1322133231313 is an equidigital number, since it uses as much as digits as its factorization.

1322133231313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5832, while the sum is 28.

Adding to 1322133231313 its reverse (3131323312231), we get a palindrome (4453456543544).

The spelling of 1322133231313 in words is "one trillion, three hundred twenty-two billion, one hundred thirty-three million, two hundred thirty-one thousand, three hundred thirteen".