133211303302032 has 120 divisors (see below), whose sum is σ = 376634639713280. Its totient is φ = 43949487617280.

The previous prime is 133211303302027. The next prime is 133211303302057. The reversal of 133211303302032 is 230203303112331.

133211303302032 is a `hidden beast` number, since 1 + 3 + 3 + 21 + 1 + 303 + 302 + 0 + 32 = 666.

It is a super-3 number, since 3×133211303302032³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133211303301987 and 133211303302005.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 951682 + ... + 16350177.

Almost surely, 2^{133211303302032} is an apocalyptic number.

133211303302032 is a gapful number since it is divisible by the number (12) 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 133211303302032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188317319856640).

133211303302032 is an abundant number, since it is smaller than the sum of its proper divisors (243423336411248).

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

133211303302032 is a wasteful number, since it uses less digits than its factorization.

133211303302032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17302421 (or 17302412 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 133211303302032 its reverse (230203303112331), we get a palindrome (363414606414363).

The spelling of 133211303302032 in words is "one hundred thirty-three trillion, two hundred eleven billion, three hundred three million, three hundred two thousand, thirty-two".