133101031132200 has 192 divisors, whose sum is σ = 421441418880000. Its totient is φ = 34734367747840.

The previous prime is 133101031132151. The next prime is 133101031132217. The reversal of 133101031132200 is 2231130101331.

It is a happy number.

It is a super-2 number, since 2×133101031132200² (a number of 29 digits) contains 22 as substring.

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, 245040511 + ... + 245583089.

It is an arithmetic number, because the mean of its divisors is an integer number (2195007390000).

Almost surely, 2^{133101031132200} is an apocalyptic number.

133101031132200 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 133101031132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210720709440000).

133101031132200 is an abundant number, since it is smaller than the sum of its proper divisors (288340387747800).

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

133101031132200 is a wasteful number, since it uses less digits than its factorization.

133101031132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551344 (or 551335 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 133101031132200 its reverse (2231130101331), we get a palindrome (135332161233531).

The spelling of 133101031132200 in words is "one hundred thirty-three trillion, one hundred one billion, thirty-one million, one hundred thirty-two thousand, two hundred".