133131033030000 has 200 divisors, whose sum is σ = 429841297167568. Its totient is φ = 35495283456000.

The previous prime is 133131033029989. The next prime is 133131033030007. The reversal of 133131033030000 is 30330131331.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133131033030007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 169197492 + ... + 169982508.

Almost surely, 2^{133131033030000} is an apocalyptic number.

133131033030000 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 133131033030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214920648583784).

133131033030000 is an abundant number, since it is smaller than the sum of its proper divisors (296710264137568).

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

133131033030000 is an equidigital number, since it uses as much as digits as its factorization.

133131033030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790701 (or 790680 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 133131033030000 its reverse (30330131331), we get a palindrome (133161363161331).

The spelling of 133131033030000 in words is "one hundred thirty-three trillion, one hundred thirty-one billion, thirty-three million, thirty thousand".