13332111123331 has 48 divisors (see below), whose sum is σ = 18177018893568. Its totient is φ = 9494583696000.

The previous prime is 13332111123329. The next prime is 13332111123361.

It is a happy number.

13332111123331 is nontrivially palindromic in base 10.

13332111123331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13332111123331 - 2¹ = 13332111123329 is a prime.

It is a super-2 number, since 2×13332111123331² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13332111123331.

It is not an unprimeable number, because it can be changed into a prime (13332111123361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3757581 + ... + 6386206.

It is an arithmetic number, because the mean of its divisors is an integer number (378687893616).

Almost surely, 2^{13332111123331} is an apocalyptic number.

13332111123331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13332111123331 is a deficient number, since it is larger than the sum of its proper divisors (4844907770237).

13332111123331 is a wasteful number, since it uses less digits than its factorization.

13332111123331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10143932 (or 10143919 counting only the distinct ones).

The product of its digits is 2916, while the sum is 28.

It can be divided in two parts, 1333211 and 1123331, that added together give a palindrome (2456542).

The spelling of 13332111123331 in words is "thirteen trillion, three hundred thirty-two billion, one hundred eleven million, one hundred twenty-three thousand, three hundred thirty-one".