133033330331 has 24 divisors (see below), whose sum is σ = 149477178480. Its totient is φ = 118272337920.

The previous prime is 133033330327. The next prime is 133033330349.

133033330331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133033330331 - 2² = 133033330327 is a prime.

It is a super-2 number, since 2×133033330331² (a number of 23 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 133033330331.

It is not an unprimeable number, because it can be changed into a prime (133033330301) 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 23 ways as a sum of consecutive naturals, for example, 1329551 + ... + 1426103.

It is an arithmetic number, because the mean of its divisors is an integer number (6228215770).

Almost surely, 2^133033330331 is an apocalyptic number.

133033330331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133033330331 is a deficient number, since it is larger than the sum of its proper divisors (16443848149).

133033330331 is a wasteful number, since it uses less digits than its factorization.

133033330331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96827 (or 96816 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 26.

It can be divided in two parts, 133033 and 330331, that added together give a palindrome (463364).

The spelling of 133033330331 in words is "one hundred thirty-three billion, thirty-three million, three hundred thirty thousand, three hundred thirty-one".