133221312000 has 1920 divisors, whose sum is σ = 605464104960. Its totient is φ = 27471052800.

The previous prime is 133221311989. The next prime is 133221312023. The reversal of 133221312000 is 213122331.

133221312000 is a `hidden beast` number, since 1 + 332 + 2 + 131 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2834495977 + ... + 2834496023.

It is an arithmetic number, because the mean of its divisors is an integer number (315345888).

Almost surely, 2^133221312000 is an apocalyptic number.

133221312000 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 133221312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302732052480).

133221312000 is an abundant number, since it is smaller than the sum of its proper divisors (472242792960).

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

133221312000 is a wasteful number, since it uses less digits than its factorization.

133221312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 133221312000 its reverse (213122331), we get a palindrome (133434434331).

The spelling of 133221312000 in words is "one hundred thirty-three billion, two hundred twenty-one million, three hundred twelve thousand".