133223002212300 has 1152 divisors, whose sum is σ = 521013948973056. Its totient is φ = 25382246400000.

The previous prime is 133223002212283. The next prime is 133223002212329. The reversal of 133223002212300 is 3212200322331.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 31192459165 + ... + 31192463435.

It is an arithmetic number, because the mean of its divisors is an integer number (452269052928).

Almost surely, 2^{133223002212300} is an apocalyptic number.

133223002212300 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 133223002212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260506974486528).

133223002212300 is an abundant number, since it is smaller than the sum of its proper divisors (387790946760756).

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

133223002212300 is a wasteful number, since it uses less digits than its factorization.

133223002212300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4991 (or 4984 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 133223002212300 its reverse (3212200322331), we get a palindrome (136435202534631).

The spelling of 133223002212300 in words is "one hundred thirty-three trillion, two hundred twenty-three billion, two million, two hundred twelve thousand, three hundred".