133201021200 has 240 divisors, whose sum is σ = 471930586176. Its totient is φ = 31901644800.

The previous prime is 133201021189. The next prime is 133201021211. The reversal of 133201021200 is 2120102331.

133201021200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (133201021189) and next prime (133201021211).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 133201021200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 461815 + ... + 692585.

Almost surely, 2^133201021200 is an apocalyptic number.

133201021200 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 133201021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235965293088).

133201021200 is an abundant number, since it is smaller than the sum of its proper divisors (338729564976).

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

133201021200 is a wasteful number, since it uses less digits than its factorization.

133201021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230842 (or 230831 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 133201021200 its reverse (2120102331), we get a palindrome (135321123531).

The spelling of 133201021200 in words is "one hundred thirty-three billion, two hundred one million, twenty-one thousand, two hundred".