2002212132013 has 16 divisors (see below), whose sum is σ = 2014806467520. Its totient is φ = 1989662367616.

The previous prime is 2002212132001. The next prime is 2002212132047. The reversal of 2002212132013 is 3102312122002.

It is a cyclic number.

It is not a de Polignac number, because 2002212132013 - 2¹⁷ = 2002212000941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002212132073) 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 15 ways as a sum of consecutive naturals, for example, 197004870 + ... + 197015032.

It is an arithmetic number, because the mean of its divisors is an integer number (125925404220).

Almost surely, 2^{2002212132013} is an apocalyptic number.

It is an amenable number.

2002212132013 is a deficient number, since it is larger than the sum of its proper divisors (12594335507).

2002212132013 is a wasteful number, since it uses less digits than its factorization.

2002212132013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12236.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2002212132013 its reverse (3102312122002), we get a palindrome (5104524254015).

The spelling of 2002212132013 in words is "two trillion, two billion, two hundred twelve million, one hundred thirty-two thousand, thirteen".