133202200131 has 288 divisors, whose sum is σ = 271813501440. Its totient is φ = 60976281600.

The previous prime is 133202200123. The next prime is 133202200133. The reversal of 133202200131 is 131002202331.

133202200131 is a `hidden beast` number, since 1 + 332 + 0 + 2 + 200 + 131 = 666.

It is not a de Polignac number, because 133202200131 - 2³ = 133202200123 is a prime.

It is a super-2 number, since 2×133202200131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133202200133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 255666151 + ... + 255666671.

It is an arithmetic number, because the mean of its divisors is an integer number (943796880).

Almost surely, 2^133202200131 is an apocalyptic number.

133202200131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133202200131 is an abundant number, since it is smaller than the sum of its proper divisors (138611301309).

133202200131 is a wasteful number, since it uses less digits than its factorization.

133202200131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 133202200131 its reverse (131002202331), we get a palindrome (264204402462).

It can be divided in two parts, 133202200 and 131, that added together give a palindrome (133202331).

The spelling of 133202200131 in words is "one hundred thirty-three billion, two hundred two million, two hundred thousand, one hundred thirty-one".