213002112013 has 4 divisors (see below), whose sum is σ = 214233338268. Its totient is φ = 211770885760.

The previous prime is 213002111999. The next prime is 213002112073. The reversal of 213002112013 is 310211200312.

213002112013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 170567348004 + 42434764009 = 412998^2 + 205997^2 .

It is a cyclic number.

It is not a de Polignac number, because 213002112013 - 2⁵ = 213002111981 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 (213002112073) 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 3 ways as a sum of consecutive naturals, for example, 615612868 + ... + 615613213.

It is an arithmetic number, because the mean of its divisors is an integer number (53558334567).

Almost surely, 2^213002112013 is an apocalyptic number.

It is an amenable number.

213002112013 is a deficient number, since it is larger than the sum of its proper divisors (1231226255).

213002112013 is a wasteful number, since it uses less digits than its factorization.

213002112013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231226254.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 213002112013 its reverse (310211200312), we get a palindrome (523213312325).

The spelling of 213002112013 in words is "two hundred thirteen billion, two million, one hundred twelve thousand, thirteen".