212210100002013 has 16 divisors (see below), whose sum is σ = 283522843968000. Its totient is φ = 141185396053296.

The previous prime is 212210100002003. The next prime is 212210100002023. The reversal of 212210100002013 is 310200001012212.

It is an interprime number because it is at equal distance from previous prime (212210100002003) and next prime (212210100002023).

It is not a de Polignac number, because 212210100002013 - 2¹³ = 212210099993821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212210100001983 and 212210100002001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212210100002003) 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, 45167256 + ... + 49643742.

It is an arithmetic number, because the mean of its divisors is an integer number (17720177748000).

Almost surely, 2^{212210100002013} is an apocalyptic number.

It is an amenable number.

212210100002013 is a deficient number, since it is larger than the sum of its proper divisors (71312743965987).

212210100002013 is a wasteful number, since it uses less digits than its factorization.

212210100002013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4508656.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 212210100002013 its reverse (310200001012212), we get a palindrome (522410101014225).

The spelling of 212210100002013 in words is "two hundred twelve trillion, two hundred ten billion, one hundred million, two thousand, thirteen".