13331220113331 has 24 divisors (see below), whose sum is σ = 20102408202240. Its totient is φ = 8497270788336.

The previous prime is 13331220113279. The next prime is 13331220113333. The reversal of 13331220113331 is 13331102213331.

13331220113331 is a `hidden beast` number, since 1 + 3 + 3 + 312 + 2 + 0 + 1 + 13 + 331 = 666.

It is not a de Polignac number, because 13331220113331 - 2¹⁴ = 13331220096947 is a prime.

It is a super-3 number, since 3×13331220113331³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 13331220113295 and 13331220113304.

It is not an unprimeable number, because it can be changed into a prime (13331220113333) 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, 13918401 + ... + 14845346.

It is an arithmetic number, because the mean of its divisors is an integer number (837600341760).

Almost surely, 2^{13331220113331} is an apocalyptic number.

13331220113331 is a deficient number, since it is larger than the sum of its proper divisors (6771188088909).

13331220113331 is a wasteful number, since it uses less digits than its factorization.

13331220113331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28766015 (or 28766012 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13331220113331 its reverse (13331102213331), we get a palindrome (26662322326662).

The spelling of 13331220113331 in words is "thirteen trillion, three hundred thirty-one billion, two hundred twenty million, one hundred thirteen thousand, three hundred thirty-one".