213102113013 has 12 divisors (see below), whose sum is σ = 310638147820. Its totient is φ = 140764697856.

The previous prime is 213102112973. The next prime is 213102113027. The reversal of 213102113013 is 310311201312.

213102113013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 185707559844 + 27394553169 = 430938^2 + 165513^2 .

It is not a de Polignac number, because 213102113013 - 2⁹ = 213102112501 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 (213102113713) 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, 108613756 + ... + 108615717.

Almost surely, 2^213102113013 is an apocalyptic number.

It is an amenable number.

213102113013 is a deficient number, since it is larger than the sum of its proper divisors (97536034807).

213102113013 is a wasteful number, since it uses less digits than its factorization.

213102113013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217229588 (or 217229585 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 213102113013 its reverse (310311201312), we get a palindrome (523413314325).

The spelling of 213102113013 in words is "two hundred thirteen billion, one hundred two million, one hundred thirteen thousand, thirteen".