133336505633331 has 96 divisors (see below), whose sum is σ = 246101880640000. Its totient is φ = 62450663869440.

The previous prime is 133336505633281. The next prime is 133336505633351.

133336505633331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133336505633331 - 2⁷ = 133336505633203 is a prime.

It is a super-2 number, since 2×133336505633331² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133336505633351) 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 95 ways as a sum of consecutive naturals, for example, 45515206 + ... + 48356043.

Almost surely, 2^{133336505633331} is an apocalyptic number.

133336505633331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133336505633331 is a deficient number, since it is larger than the sum of its proper divisors (112765375006669).

133336505633331 is a wasteful number, since it uses less digits than its factorization.

133336505633331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93871337 (or 93871326 counting only the distinct ones).

The product of its (nonzero) digits is 5904900, while the sum is 48.

It can be divided in two parts, 13333650 and 5633331, that added together give a palindrome (18966981).

The spelling of 133336505633331 in words is "one hundred thirty-three trillion, three hundred thirty-six billion, five hundred five million, six hundred thirty-three thousand, three hundred thirty-one".