133302221556000 has 384 divisors, whose sum is σ = 499113303736320. Its totient is φ = 30467260800000.

The previous prime is 133302221555941. The next prime is 133302221556013. The reversal of 133302221556000 is 655122203331.

It is a super-2 number, since 2×133302221556000² (a number of 29 digits) contains 22 as substring.

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, 1827047521 + ... + 1827120479.

It is an arithmetic number, because the mean of its divisors is an integer number (1299774228480).

Almost surely, 2^{133302221556000} is an apocalyptic number.

133302221556000 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 133302221556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249556651868160).

133302221556000 is an abundant number, since it is smaller than the sum of its proper divisors (365811082180320).

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

133302221556000 is a wasteful number, since it uses less digits than its factorization.

133302221556000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94745 (or 94727 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

Adding to 133302221556000 its reverse (655122203331), we get a palindrome (133957343759331).

The spelling of 133302221556000 in words is "one hundred thirty-three trillion, three hundred two billion, two hundred twenty-one million, five hundred fifty-six thousand".