2001100220013 has 32 divisors (see below), whose sum is σ = 2733312548736. Its totient is φ = 1301926929408.

The previous prime is 2001100219991. The next prime is 2001100220023. The reversal of 2001100220013 is 3100220011002.

It is not a de Polignac number, because 2001100220013 - 2⁵ = 2001100219981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001100220023) 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, 9102295 + ... + 9319547.

It is an arithmetic number, because the mean of its divisors is an integer number (85416017148).

Almost surely, 2^{2001100220013} is an apocalyptic number.

It is an amenable number.

2001100220013 is a deficient number, since it is larger than the sum of its proper divisors (732212328723).

2001100220013 is a wasteful number, since it uses less digits than its factorization.

2001100220013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217773.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 2001100220013 its reverse (3100220011002), we get a palindrome (5101320231015).

The spelling of 2001100220013 in words is "two trillion, one billion, one hundred million, two hundred twenty thousand, thirteen".