2012210013 has 32 divisors (see below), whose sum is σ = 3062126592. Its totient is φ = 1164425600.

The previous prime is 2012210003. The next prime is 2012210017. The reversal of 2012210013 is 3100122102.

It is a cyclic number.

It is not a de Polignac number, because 2012210013 - 2⁸ = 2012209757 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012210017) by changing a digit.

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, 47770 + ... + 79412.

It is an arithmetic number, because the mean of its divisors is an integer number (95691456).

Almost surely, 2^2012210013 is an apocalyptic number.

It is an amenable number.

2012210013 is a deficient number, since it is larger than the sum of its proper divisors (1049916579).

2012210013 is a wasteful number, since it uses less digits than its factorization.

2012210013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31745.

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

The square root of 2012210013 is about 44857.6639271374. The cubic root of 2012210013 is about 1262.4797919583.

Adding to 2012210013 its reverse (3100122102), we get a palindrome (5112332115).

It can be divided in two parts, 20122 and 10013, that added together give a triangular number (30135 = T₂₄₅).

The spelling of 2012210013 in words is "two billion, twelve million, two hundred ten thousand, thirteen".