1323313113313 has 8 divisors (see below), whose sum is σ = 1363078492776. Its totient is φ = 1283904374400.

The previous prime is 1323313113301. The next prime is 1323313113347. The reversal of 1323313113313 is 3133113133231.

It can be written as a sum of positive squares in 4 ways, for example, as 7651350784 + 1315661762529 = 87472^2 + 1147023^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1323313113313 - 2⁹ = 1323313112801 is a prime.

It is a super-2 number, since 2×1323313113313² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1323313113013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89152606 + ... + 89167447.

It is an arithmetic number, because the mean of its divisors is an integer number (170384811597).

Almost surely, 2^{1323313113313} is an apocalyptic number.

It is an amenable number.

1323313113313 is a deficient number, since it is larger than the sum of its proper divisors (39765379463).

1323313113313 is a wasteful number, since it uses less digits than its factorization.

1323313113313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178320275.

The product of its digits is 4374, while the sum is 28.

Adding to 1323313113313 its reverse (3133113133231), we get a palindrome (4456426246544).

The spelling of 1323313113313 in words is "one trillion, three hundred twenty-three billion, three hundred thirteen million, one hundred thirteen thousand, three hundred thirteen".