133223022111000 has 512 divisors, whose sum is σ = 421432879795200. Its totient is φ = 35035788902400.

The previous prime is 133223022110989. The next prime is 133223022111001. The reversal of 133223022111000 is 111220322331.

It is a super-4 number, since 4×133223022111000⁴ (a number of 58 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133223022111001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 109468382392 + ... + 109468383608.

It is an arithmetic number, because the mean of its divisors is an integer number (823111093350).

Almost surely, 2^{133223022111000} is an apocalyptic number.

133223022111000 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 133223022111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210716439897600).

133223022111000 is an abundant number, since it is smaller than the sum of its proper divisors (288209857684200).

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

133223022111000 is a wasteful number, since it uses less digits than its factorization.

133223022111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2604 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 133223022111000 its reverse (111220322331), we get a palindrome (133334242433331).

The spelling of 133223022111000 in words is "one hundred thirty-three trillion, two hundred twenty-three billion, twenty-two million, one hundred eleven thousand".