13320303023313 has 240 divisors, whose sum is σ = 24524665227216. Its totient is φ = 7150809600000.

The previous prime is 13320303023297. The next prime is 13320303023333. The reversal of 13320303023313 is 31332030302331.

13320303023313 is a `hidden beast` number, since 1 + 3 + 3 + 20 + 3 + 0 + 302 + 331 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11007053665344 + 2313249357969 = 3317688^2 + 1520937^2 .

It is not a de Polignac number, because 13320303023313 - 2⁴ = 13320303023297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13320303023333) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 318639013 + ... + 318680813.

Almost surely, 2^{13320303023313} is an apocalyptic number.

13320303023313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13320303023313 is a deficient number, since it is larger than the sum of its proper divisors (11204362203903).

13320303023313 is a wasteful number, since it uses less digits than its factorization.

13320303023313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41950 (or 41930 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 13320303023313 its reverse (31332030302331), we get a palindrome (44652333325644).

It can be divided in two parts, 1332030302331 and 3, that multiplied together give a palindrome (3996090906993).

The spelling of 13320303023313 in words is "thirteen trillion, three hundred twenty billion, three hundred three million, twenty-three thousand, three hundred thirteen".