133202211120 has 1080 divisors, whose sum is σ = 533941231824. Its totient is φ = 29698099200.

The previous prime is 133202211113. The next prime is 133202211127. The reversal of 133202211120 is 21112202331.

133202211120 is a `hidden beast` number, since 1 + 3 + 320 + 221 + 1 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (133202211113) and next prime (133202211127).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 133202211093 and 133202211102.

It is not an unprimeable number, because it can be changed into a prime (133202211127) 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 215 ways as a sum of consecutive naturals, for example, 3097725819 + ... + 3097725861.

Almost surely, 2^133202211120 is an apocalyptic number.

133202211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133202211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266970615912).

133202211120 is an abundant number, since it is smaller than the sum of its proper divisors (400739020704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133202211120 is a wasteful number, since it uses less digits than its factorization.

133202211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 133202211120 its reverse (21112202331), we get a palindrome (154314413451).

It can be divided in two parts, 133202211 and 120, that added together give a palindrome (133202331).

The spelling of 133202211120 in words is "one hundred thirty-three billion, two hundred two million, two hundred eleven thousand, one hundred twenty".