133322223331 has 8 divisors (see below), whose sum is σ = 145910089728. Its totient is φ = 120812301000.

The previous prime is 133322223277. The next prime is 133322223347.

133322223331 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 133322223331 - 2¹¹ = 133322221283 is a prime.

It is a super-3 number, since 3×133322223331³ (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 133322223331.

It is not an unprimeable number, because it can be changed into a prime (133322220331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19482435 + ... + 19489276.

It is an arithmetic number, because the mean of its divisors is an integer number (18238761216).

Almost surely, 2^133322223331 is an apocalyptic number.

133322223331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133322223331 is a deficient number, since it is larger than the sum of its proper divisors (12587866397).

133322223331 is a wasteful number, since it uses less digits than its factorization.

133322223331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38972033.

The product of its digits is 11664, while the sum is 28.

It can be divided in two parts, 133322 and 223331, that added together give a palindrome (356653).

The spelling of 133322223331 in words is "one hundred thirty-three billion, three hundred twenty-two million, two hundred twenty-three thousand, three hundred thirty-one".