133002001021120 has 896 divisors, whose sum is σ = 420465617141760. Its totient is φ = 38864366714880.

The previous prime is 133002001021117. The next prime is 133002001021199. The reversal of 133002001021120 is 21120100200331.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 133002001021094 and 133002001021103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4265193049 + ... + 4265224231.

Almost surely, 2^{133002001021120} is an apocalyptic number.

133002001021120 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 133002001021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210232808570880).

133002001021120 is an abundant number, since it is smaller than the sum of its proper divisors (287463616120640).

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

133002001021120 is a wasteful number, since it uses less digits than its factorization.

133002001021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31421 (or 31411 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 133002001021120 its reverse (21120100200331), we get a palindrome (154122101221451).

The spelling of 133002001021120 in words is "one hundred thirty-three trillion, two billion, one million, twenty-one thousand, one hundred twenty".