133320101112000 has 1344 divisors, whose sum is σ = 545698938470400. Its totient is φ = 30777117696000.

The previous prime is 133320101111947. The next prime is 133320101112013. The reversal of 133320101112000 is 211101023331.

133320101112000 is a `hidden beast` number, since 1 + 33 + 320 + 1 + 0 + 111 + 200 + 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 191 ways as a sum of consecutive naturals, for example, 1377239601 + ... + 1377336399.

Almost surely, 2^{133320101112000} is an apocalyptic number.

133320101112000 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 133320101112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272849469235200).

133320101112000 is an abundant number, since it is smaller than the sum of its proper divisors (412378837358400).

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

133320101112000 is a wasteful number, since it uses less digits than its factorization.

133320101112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96927 (or 96904 counting only the distinct ones).

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

Adding to 133320101112000 its reverse (211101023331), we get a palindrome (133531202135331).

The spelling of 133320101112000 in words is "one hundred thirty-three trillion, three hundred twenty billion, one hundred one million, one hundred twelve thousand".