2002011111013 has 12 divisors (see below), whose sum is σ = 2122791377220. Its totient is φ = 1885830437120.

The previous prime is 2002011110923. The next prime is 2002011111029. The reversal of 2002011111013 is 3101111102002.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1074491876929 + 927519234084 = 1036577^2 + 963078^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2002011111013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002011110984 and 2002011111002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002011121013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20485120 + ... + 20582617.

It is an arithmetic number, because the mean of its divisors is an integer number (176899281435).

Almost surely, 2^{2002011111013} is an apocalyptic number.

It is an amenable number.

2002011111013 is a deficient number, since it is larger than the sum of its proper divisors (120780266207).

2002011111013 is an equidigital number, since it uses as much as digits as its factorization.

2002011111013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41067848 (or 41067807 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 2002011111013 its reverse (3101111102002), we get a palindrome (5103122213015).

The spelling of 2002011111013 in words is "two trillion, two billion, eleven million, one hundred eleven thousand, thirteen".