1001130330000 has 200 divisors, whose sum is σ = 3401877925600. Its totient is φ = 252916992000.

The previous prime is 1001130329951. The next prime is 1001130330001. The reversal of 1001130330000 is 330311001.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1001130330001) 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, 308185 + ... + 1448184.

It is an arithmetic number, because the mean of its divisors is an integer number (17009389628).

Almost surely, 2^{1001130330000} is an apocalyptic number.

1001130330000 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 1001130330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700938962800).

1001130330000 is an abundant number, since it is smaller than the sum of its proper divisors (2400747595600).

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

1001130330000 is a wasteful number, since it uses less digits than its factorization.

1001130330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756419 (or 1756398 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 1001130330000 its reverse (330311001), we get a palindrome (1001460641001).

The spelling of 1001130330000 in words is "one trillion, one billion, one hundred thirty million, three hundred thirty thousand".