133130131030000 has 200 divisors, whose sum is σ = 347140536319808. Its totient is φ = 49152168576000.

The previous prime is 133130131029953. The next prime is 133130131030031. The reversal of 133130131030000 is 30131031331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a self number, because there is not a number n which added to its sum of digits gives 133130131030000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2368961902 + ... + 2369018098.

Almost surely, 2^{133130131030000} is an apocalyptic number.

133130131030000 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 133130131030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173570268159904).

133130131030000 is an abundant number, since it is smaller than the sum of its proper divisors (214010405289808).

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

133130131030000 is a wasteful number, since it uses less digits than its factorization.

133130131030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74461 (or 74440 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 133130131030000 its reverse (30131031331), we get a palindrome (133160262061331).

The spelling of 133130131030000 in words is "one hundred thirty-three trillion, one hundred thirty billion, one hundred thirty-one million, thirty thousand".