1313321122331 has 2 divisors, whose sum is σ = 1313321122332. Its totient is φ = 1313321122330.

The previous prime is 1313321122277. The next prime is 1313321122357. The reversal of 1313321122331 is 1332211233131.

It is an a-pointer prime, because the next prime (1313321122357) can be obtained adding 1313321122331 to its sum of digits (26).

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1313321122331 is a prime.

It is a super-2 number, since 2×1313321122331² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1313321122331.

It is not a weakly prime, because it can be changed into another prime (1313321122361) 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, 656660561165 + 656660561166.

It is an arithmetic number, because the mean of its divisors is an integer number (656660561166).

Almost surely, 2^{1313321122331} is an apocalyptic number.

1313321122331 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313321122331 is an equidigital number, since it uses as much as digits as its factorization.

1313321122331 is an odious number, because the sum of its binary digits is odd.

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

Adding to 1313321122331 its reverse (1332211233131), we get a palindrome (2645532355462).

The spelling of 1313321122331 in words is "one trillion, three hundred thirteen billion, three hundred twenty-one million, one hundred twenty-two thousand, three hundred thirty-one".