1323333012313 has 8 divisors (see below), whose sum is σ = 1425145598856. Its totient is φ = 1221522960000.

The previous prime is 1323333012283. The next prime is 1323333012361. The reversal of 1323333012313 is 3132103333231.

It can be written as a sum of positive squares in 4 ways, for example, as 1906894224 + 1321426118089 = 43668^2 + 1149533^2 .

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 1323333012313 - 2³³ = 1314743077721 is a prime.

It is a super-2 number, since 2×1323333012313² (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 (1323333052313) 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, 530163 + ... + 1711063.

It is an arithmetic number, because the mean of its divisors is an integer number (178143199857).

Almost surely, 2^{1323333012313} is an apocalyptic number.

1323333012313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1323333012313 is a deficient number, since it is larger than the sum of its proper divisors (101812586543).

1323333012313 is a wasteful number, since it uses less digits than its factorization.

1323333012313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267115.

The product of its (nonzero) digits is 8748, while the sum is 28.

Adding to 1323333012313 its reverse (3132103333231), we get a palindrome (4455436345544).

The spelling of 1323333012313 in words is "one trillion, three hundred twenty-three billion, three hundred thirty-three million, twelve thousand, three hundred thirteen".