1001331012000 has 384 divisors, whose sum is σ = 3598651929600. Its totient is φ = 241385088000.

The previous prime is 1001331011981. The next prime is 1001331012001. The reversal of 1001331012000 is 2101331001.

1001331012000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (1001331012001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23606811 + ... + 23649189.

It is an arithmetic number, because the mean of its divisors is an integer number (9371489400).

Almost surely, 2^{1001331012000} is an apocalyptic number.

1001331012000 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 1001331012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799325964800).

1001331012000 is an abundant number, since it is smaller than the sum of its proper divisors (2597320917600).

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

1001331012000 is a wasteful number, since it uses less digits than its factorization.

1001331012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42597 (or 42579 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1001331012000 its reverse (2101331001), we get a palindrome (1003432343001).

It can be divided in two parts, 10013 and 31012000, that added together give a palindrome (31022013).

The spelling of 1001331012000 in words is "one trillion, one billion, three hundred thirty-one million, twelve thousand".