13332100123331 has 8 divisors (see below), whose sum is σ = 14545335373824. Its totient is φ = 12119069230920.

The previous prime is 13332100123327. The next prime is 13332100123337.

13332100123331 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13332100123331 - 2² = 13332100123327 is a prime.

It is a super-2 number, since 2×13332100123331² (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 13332100123331.

It is not an unprimeable number, because it can be changed into a prime (13332100123337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50953091 + ... + 51214076.

It is an arithmetic number, because the mean of its divisors is an integer number (1818166921728).

Almost surely, 2^{13332100123331} is an apocalyptic number.

13332100123331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13332100123331 is a deficient number, since it is larger than the sum of its proper divisors (1213235250493).

13332100123331 is a wasteful number, since it uses less digits than its factorization.

13332100123331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102179041.

The product of its (nonzero) digits is 2916, while the sum is 26.

It can be divided in two parts, 13332100 and 123331, that added together give a palindrome (13455431).

The spelling of 13332100123331 in words is "thirteen trillion, three hundred thirty-two billion, one hundred million, one hundred twenty-three thousand, three hundred thirty-one".