213103013013 has 24 divisors (see below), whose sum is σ = 335865313056. Its totient is φ = 129127716000.

The previous prime is 213103012981. The next prime is 213103013017. The reversal of 213103013013 is 310310301312.

It is a happy number.

213103013013 is a `hidden beast` number, since 21 + 310 + 30 + 1 + 301 + 3 = 666.

It is not a de Polignac number, because 213103013013 - 2⁵ = 213103012981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213103013017) 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 23 ways as a sum of consecutive naturals, for example, 294006 + ... + 715992.

It is an arithmetic number, because the mean of its divisors is an integer number (13994388044).

Almost surely, 2^213103013013 is an apocalyptic number.

It is an amenable number.

213103013013 is a deficient number, since it is larger than the sum of its proper divisors (122762300043).

213103013013 is a wasteful number, since it uses less digits than its factorization.

213103013013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427105 (or 427102 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 213103013013 its reverse (310310301312), we get a palindrome (523413314325).

The spelling of 213103013013 in words is "two hundred thirteen billion, one hundred three million, thirteen thousand, thirteen".