133321112000010 has 192 divisors, whose sum is σ = 382769416149120. Its totient is φ = 31926996288000.

The previous prime is 133321112000009. The next prime is 133321112000033. The reversal of 133321112000010 is 10000211123331.

133321112000010 is a `hidden beast` number, since 1 + 333 + 211 + 120 + 0 + 0 + 0 + 1 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33851920 + ... + 37584500.

It is an arithmetic number, because the mean of its divisors is an integer number (1993590709110).

Almost surely, 2^{133321112000010} is an apocalyptic number.

133321112000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133321112000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191384708074560).

133321112000010 is an abundant number, since it is smaller than the sum of its proper divisors (249448304149110).

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

133321112000010 is a wasteful number, since it uses less digits than its factorization.

133321112000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3733045 (or 3733042 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 133321112000010 its reverse (10000211123331), we get a palindrome (143321323123341).

The spelling of 133321112000010 in words is "one hundred thirty-three trillion, three hundred twenty-one billion, one hundred twelve million, ten", and thus it is an aban number.