133323330200000 has 336 divisors, whose sum is σ = 338217484445568. Its totient is φ = 52117632000000.

The previous prime is 133323330199967. The next prime is 133323330200059. The reversal of 133323330200000 is 2033323331.

It is a super-2 number, since 2×133323330200000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 6589389884 + ... + 6589410116.

It is an arithmetic number, because the mean of its divisors is an integer number (1006599656088).

Almost surely, 2^{133323330200000} is an apocalyptic number.

133323330200000 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 133323330200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169108742222784).

133323330200000 is an abundant number, since it is smaller than the sum of its proper divisors (204894154245568).

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

133323330200000 is an frugal number, since it uses more digits than its factorization.

133323330200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21018 (or 20988 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 23.

Adding to 133323330200000 its reverse (2033323331), we get a palindrome (133325363523331).

The spelling of 133323330200000 in words is "one hundred thirty-three trillion, three hundred twenty-three billion, three hundred thirty million, two hundred thousand".