2002011101113 has 32 divisors (see below), whose sum is σ = 2143498844160. Its totient is φ = 1863289958400.

The previous prime is 2002011101107. The next prime is 2002011101119. The reversal of 2002011101113 is 3111011102002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2002011101107) and next prime (2002011101119).

It is a cyclic number.

It is not a de Polignac number, because 2002011101113 - 2³³ = 1993421166521 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002011101093 and 2002011101102.

It is not an unprimeable number, because it can be changed into a prime (2002011101119) 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 31 ways as a sum of consecutive naturals, for example, 907117656 + ... + 907119862.

It is an arithmetic number, because the mean of its divisors is an integer number (66984338880).

Almost surely, 2^{2002011101113} is an apocalyptic number.

It is an amenable number.

2002011101113 is a deficient number, since it is larger than the sum of its proper divisors (141487743047).

2002011101113 is a wasteful number, since it uses less digits than its factorization.

2002011101113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3817.

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

Adding to 2002011101113 its reverse (3111011102002), we get a palindrome (5113022203115).

The spelling of 2002011101113 in words is "two trillion, two billion, eleven million, one hundred one thousand, one hundred thirteen".