1323220133313 has 24 divisors (see below), whose sum is σ = 2092085759400. Its totient is φ = 800940303360.

The previous prime is 1323220133269. The next prime is 1323220133321. The reversal of 1323220133313 is 3133310223231.

1323220133313 is a `hidden beast` number, since 1 + 3 + 2 + 322 + 0 + 1 + 3 + 331 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24468154929 + 1298751978384 = 156423^2 + 1139628^2 .

It is not a de Polignac number, because 1323220133313 - 2¹³ = 1323220125121 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1323220143313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92694288 + ... + 92708561.

It is an arithmetic number, because the mean of its divisors is an integer number (87170239975).

Almost surely, 2^{1323220133313} is an apocalyptic number.

1323220133313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1323220133313 is a deficient number, since it is larger than the sum of its proper divisors (768865626087).

1323220133313 is a wasteful number, since it uses less digits than its factorization.

1323220133313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185402929 (or 185402926 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1323220133313 its reverse (3133310223231), we get a palindrome (4456530356544).

The spelling of 1323220133313 in words is "one trillion, three hundred twenty-three billion, two hundred twenty million, one hundred thirty-three thousand, three hundred thirteen".