133130210003120 has 160 divisors (see below), whose sum is σ = 341125621634304. Its totient is φ = 47915397248000.

The previous prime is 133130210003113. The next prime is 133130210003149. The reversal of 133130210003120 is 21300012031331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 133130210003092 and 133130210003101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263098679 + ... + 263604201.

Almost surely, 2^{133130210003120} is an apocalyptic number.

133130210003120 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 133130210003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170562810817152).

133130210003120 is an abundant number, since it is smaller than the sum of its proper divisors (207995411631184).

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

133130210003120 is a wasteful number, since it uses less digits than its factorization.

133130210003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508611 (or 508605 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 133130210003120 its reverse (21300012031331), we get a palindrome (154430222034451).

The spelling of 133130210003120 in words is "one hundred thirty-three trillion, one hundred thirty billion, two hundred ten million, three thousand, one hundred twenty".