2001311010000 has 200 divisors, whose sum is σ = 7178332948160. Its totient is φ = 533682864000.

The previous prime is 2001311009981. The next prime is 2001311010001. The reversal of 2001311010000 is 101131002.

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 (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001311010001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3436132 + ... + 3976131.

Almost surely, 2^{2001311010000} is an apocalyptic number.

2001311010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001311010000 is an abundant number, since it is smaller than the sum of its proper divisors (5177021938160).

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

2001311010000 is an equidigital number, since it uses as much as digits as its factorization.

2001311010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7412300 (or 7412273 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 2001311010000 its reverse (101131002), we get a palindrome (2001412141002).

The spelling of 2001311010000 in words is "two trillion, one billion, three hundred eleven million, ten thousand".