133321010132200 has 144 divisors (see below), whose sum is σ = 349410523884480. Its totient is φ = 46916483760000.

The previous prime is 133321010132131. The next prime is 133321010132201. The reversal of 133321010132200 is 2231010123331.

It is a super-3 number, since 3×133321010132200³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (133321010132201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29415696 + ... + 33644095.

It is an arithmetic number, because the mean of its divisors is an integer number (2426461971420).

Almost surely, 2^{133321010132200} is an apocalyptic number.

133321010132200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133321010132200 is an abundant number, since it is smaller than the sum of its proper divisors (216089513752280).

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

133321010132200 is a wasteful number, since it uses less digits than its factorization.

133321010132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63059880 (or 63059840 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 133321010132200 its reverse (2231010123331), we get a palindrome (135552020255531).

The spelling of 133321010132200 in words is "one hundred thirty-three trillion, three hundred twenty-one billion, ten million, one hundred thirty-two thousand, two hundred".