133202242202331 has 64 divisors (see below), whose sum is σ = 186377000979456. Its totient is φ = 84538793318400.

The previous prime is 133202242202329. The next prime is 133202242202363.

133202242202331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133202242202331 - 2¹ = 133202242202329 is a prime.

It is a super-2 number, since 2×133202242202331² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133202242242331) 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 63 ways as a sum of consecutive naturals, for example, 1677338016 + ... + 1677417426.

It is an arithmetic number, because the mean of its divisors is an integer number (2912140640304).

Almost surely, 2^{133202242202331} is an apocalyptic number.

133202242202331 is a deficient number, since it is larger than the sum of its proper divisors (53174758777125).

133202242202331 is a wasteful number, since it uses less digits than its factorization.

133202242202331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81172.

The product of its (nonzero) digits is 20736, while the sum is 30.

The spelling of 133202242202331 in words is "one hundred thirty-three trillion, two hundred two billion, two hundred forty-two million, two hundred two thousand, three hundred thirty-one".