133533525335331 has 64 divisors (see below), whose sum is σ = 199525049210880. Its totient is φ = 79419002432000.

The previous prime is 133533525335297. The next prime is 133533525335359.

133533525335331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133533525335331 - 2¹⁵ = 133533525302563 is a prime.

It is a super-2 number, since 2×133533525335331² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133533525331331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44107030 + ... + 47037188.

It is an arithmetic number, because the mean of its divisors is an integer number (3117578893920).

Almost surely, 2^{133533525335331} is an apocalyptic number.

133533525335331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133533525335331 is a deficient number, since it is larger than the sum of its proper divisors (65991523875549).

133533525335331 is a wasteful number, since it uses less digits than its factorization.

133533525335331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930409 (or 2930387 counting only the distinct ones).

The product of its digits is 8201250, while the sum is 48.

The spelling of 133533525335331 in words is "one hundred thirty-three trillion, five hundred thirty-three billion, five hundred twenty-five million, three hundred thirty-five thousand, three hundred thirty-one".