13331301320331 has 16 divisors (see below), whose sum is σ = 19860411657600. Its totient is φ = 8837883181224.

The previous prime is 13331301320273. The next prime is 13331301320357. The reversal of 13331301320331 is 13302310313331.

13331301320331 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 1 + 3 + 0 + 1 + 320 + 331 = 666.

It is not a de Polignac number, because 13331301320331 - 2¹⁰ = 13331301319307 is a prime.

It is a super-2 number, since 2×13331301320331² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13331301320295 and 13331301320304.

It is not an unprimeable number, because it can be changed into a prime (13331301310331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1379190421 + ... + 1379200086.

It is an arithmetic number, because the mean of its divisors is an integer number (1241275728600).

Almost surely, 2^{13331301320331} is an apocalyptic number.

13331301320331 is a deficient number, since it is larger than the sum of its proper divisors (6529110337269).

13331301320331 is a wasteful number, since it uses less digits than its factorization.

13331301320331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758390695 (or 2758390689 counting only the distinct ones).

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

Adding to 13331301320331 its reverse (13302310313331), we get a palindrome (26633611633662).

The spelling of 13331301320331 in words is "thirteen trillion, three hundred thirty-one billion, three hundred one million, three hundred twenty thousand, three hundred thirty-one".