13331100113331 has 384 divisors, whose sum is σ = 25341416497152. Its totient is φ = 6122511360000.

The previous prime is 13331100113329. The next prime is 13331100113351.

13331100113331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13331100113331 - 2¹ = 13331100113329 is a prime.

It is a super-3 number, since 3×13331100113331³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (13331100113351) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17517870991 + ... + 17517871751.

It is an arithmetic number, because the mean of its divisors is an integer number (65993272128).

Almost surely, 2^{13331100113331} is an apocalyptic number.

13331100113331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13331100113331 is a deficient number, since it is larger than the sum of its proper divisors (12010316383821).

13331100113331 is a wasteful number, since it uses less digits than its factorization.

13331100113331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 24.

It can be divided in two parts, 13331100 and 113331, that added together give a palindrome (13444431).

The spelling of 13331100113331 in words is "thirteen trillion, three hundred thirty-one billion, one hundred million, one hundred thirteen thousand, three hundred thirty-one".