13330320313311 has 24 divisors (see below), whose sum is σ = 20432620690560. Its totient is φ = 8356417933776.

The previous prime is 13330320313283. The next prime is 13330320313333. The reversal of 13330320313311 is 11331302303331.

13330320313311 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 0 + 32 + 0 + 313 + 311 = 666.

It is not a de Polignac number, because 13330320313311 - 2¹⁷ = 13330320182239 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330320313511) 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, 545730861 + ... + 545755286.

It is an arithmetic number, because the mean of its divisors is an integer number (851359195440).

Almost surely, 2^{13330320313311} is an apocalyptic number.

13330320313311 is a deficient number, since it is larger than the sum of its proper divisors (7102300377249).

13330320313311 is a wasteful number, since it uses less digits than its factorization.

13330320313311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091486235 (or 1091486232 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 13330320313311 its reverse (11331302303331), we get a palindrome (24661622616642).

The spelling of 13330320313311 in words is "thirteen trillion, three hundred thirty billion, three hundred twenty million, three hundred thirteen thousand, three hundred eleven".