133533335331 has 144 divisors (see below), whose sum is σ = 224166537504. Its totient is φ = 75893760000.

The previous prime is 133533335317. The next prime is 133533335371.

133533335331 is a `hidden beast` number, since 13 + 3 + 533 + 33 + 53 + 31 = 666.

133533335331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133533335331 - 2²² = 133529141027 is a prime.

It is a super-2 number, since 2×133533335331² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133533335311) 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 143 ways as a sum of consecutive naturals, for example, 1322112181 + ... + 1322112281.

It is an arithmetic number, because the mean of its divisors is an integer number (1556712066).

Almost surely, 2^133533335331 is an apocalyptic number.

133533335331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133533335331 is a deficient number, since it is larger than the sum of its proper divisors (90633202173).

133533335331 is a wasteful number, since it uses less digits than its factorization.

133533335331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 310 counting only the distinct ones).

The product of its digits is 164025, while the sum is 36.

It can be divided in two parts, 133533 and 335331, that added together give a palindrome (468864).

The spelling of 133533335331 in words is "one hundred thirty-three billion, five hundred thirty-three million, three hundred thirty-five thousand, three hundred thirty-one".