133321123331 has 8 divisors (see below), whose sum is σ = 145769540544. Its totient is φ = 120927425320.

The previous prime is 133321123303. The next prime is 133321123337.

133321123331 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 133321123331 - 2¹⁰ = 133321122307 is a prime.

It is a super-3 number, since 3×133321123331³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 133321123331.

It is not an unprimeable number, because it can be changed into a prime (133321123337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13674701 + ... + 13684446.

It is an arithmetic number, because the mean of its divisors is an integer number (18221192568).

Almost surely, 2^133321123331 is an apocalyptic number.

133321123331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133321123331 is a deficient number, since it is larger than the sum of its proper divisors (12448417213).

133321123331 is a wasteful number, since it uses less digits than its factorization.

133321123331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27359601.

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

It can be divided in two parts, 133321 and 123331, that added together give a palindrome (256652).

The spelling of 133321123331 in words is "one hundred thirty-three billion, three hundred twenty-one million, one hundred twenty-three thousand, three hundred thirty-one".