133130013000 has 128 divisors (see below), whose sum is σ = 415567152000. Its totient is φ = 35484115200.

The previous prime is 133130012963. The next prime is 133130013001. The reversal of 133130013000 is 310031331.

It is a super-2 number, since 2×133130013000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (133130013001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6917391 + ... + 6936609.

It is an arithmetic number, because the mean of its divisors is an integer number (3246618375).

Almost surely, 2^133130013000 is an apocalyptic number.

133130013000 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 133130013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207783576000).

133130013000 is an abundant number, since it is smaller than the sum of its proper divisors (282437139000).

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

133130013000 is a wasteful number, since it uses less digits than its factorization.

133130013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21552 (or 21538 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 133130013000 its reverse (310031331), we get a palindrome (133440044331).

The spelling of 133130013000 in words is "one hundred thirty-three billion, one hundred thirty million, thirteen thousand".