133313100321000 has 1024 divisors, whose sum is σ = 451390537728000. Its totient is φ = 32695004160000.

The previous prime is 133313100320987. The next prime is 133313100321017. The reversal of 133313100321000 is 123001313331.

It is a super-3 number, since 3×133313100321000³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21063845836 + ... + 21063852164.

It is an arithmetic number, because the mean of its divisors is an integer number (440811072000).

Almost surely, 2^{133313100321000} is an apocalyptic number.

133313100321000 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 133313100321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225695268864000).

133313100321000 is an abundant number, since it is smaller than the sum of its proper divisors (318077437407000).

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

133313100321000 is a wasteful number, since it uses less digits than its factorization.

133313100321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6571 (or 6557 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 133313100321000 its reverse (123001313331), we get a palindrome (133436101634331).

The spelling of 133313100321000 in words is "one hundred thirty-three trillion, three hundred thirteen billion, one hundred million, three hundred twenty-one thousand".