133033211223000 has 256 divisors, whose sum is σ = 452857504320000. Its totient is φ = 32246142912000.

The previous prime is 133033211222983. The next prime is 133033211223019. The reversal of 133033211223000 is 322112330331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 248849991 + ... + 249384009.

It is an arithmetic number, because the mean of its divisors is an integer number (1768974626250).

Almost surely, 2^{133033211223000} is an apocalyptic number.

133033211223000 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 133033211223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226428752160000).

133033211223000 is an abundant number, since it is smaller than the sum of its proper divisors (319824293097000).

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

133033211223000 is a wasteful number, since it uses less digits than its factorization.

133033211223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541603 (or 541589 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 133033211223000 its reverse (322112330331), we get a palindrome (133355323553331).

The spelling of 133033211223000 in words is "one hundred thirty-three trillion, thirty-three billion, two hundred eleven million, two hundred twenty-three thousand".