133212321333000 has 4096 divisors, whose sum is σ = 618958319616000. Its totient is φ = 25718280192000.

The previous prime is 133212321332989. The next prime is 133212321333089. The reversal of 133212321333000 is 333123212331.

133212321333000 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 1 + 2 + 321 + 3 + 330 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 402454142835 + ... + 402454143165.

It is an arithmetic number, because the mean of its divisors is an integer number (151112871000).

Almost surely, 2^{133212321333000} is an apocalyptic number.

133212321333000 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 133212321333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309479159808000).

133212321333000 is an abundant number, since it is smaller than the sum of its proper divisors (485745998283000).

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

133212321333000 is a wasteful number, since it uses less digits than its factorization.

133212321333000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 133212321333000 its reverse (333123212331), we get a palindrome (133545444545331).

The spelling of 133212321333000 in words is "one hundred thirty-three trillion, two hundred twelve billion, three hundred twenty-one million, three hundred thirty-three thousand".