2001013111000 has 128 divisors (see below), whose sum is σ = 4737177432000. Its totient is φ = 791064960000.

The previous prime is 2001013110997. The next prime is 2001013111093. The reversal of 2001013111000 is 1113101002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 57451591 + ... + 57486409.

Almost surely, 2^{2001013111000} is an apocalyptic number.

2001013111000 is a gapful number since it is divisible by the number (20) 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 2001013111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368588716000).

2001013111000 is an abundant number, since it is smaller than the sum of its proper divisors (2736164321000).

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

2001013111000 is a wasteful number, since it uses less digits than its factorization.

2001013111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35510 (or 35496 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 2001013111000 its reverse (1113101002), we get a palindrome (2002126212002).

The spelling of 2001013111000 in words is "two trillion, one billion, thirteen million, one hundred eleven thousand".