213010430013 has 24 divisors (see below), whose sum is σ = 316029546456. Its totient is φ = 138154896000.

The previous prime is 213010429979. The next prime is 213010430053. The reversal of 213010430013 is 310034010312.

213010430013 is a `hidden beast` number, since 213 + 0 + 10 + 430 + 0 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 166956411609 + 46054018404 = 408603^2 + 214602^2 .

It is not a de Polignac number, because 213010430013 - 2⁹ = 213010429501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213010430053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4003203 + ... + 4056063.

It is an arithmetic number, because the mean of its divisors is an integer number (13167897769).

Almost surely, 2^213010430013 is an apocalyptic number.

It is an amenable number.

213010430013 is a deficient number, since it is larger than the sum of its proper divisors (103019116443).

213010430013 is a wasteful number, since it uses less digits than its factorization.

213010430013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65005 (or 65002 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213010430013 its reverse (310034010312), we get a palindrome (523044440325).

The spelling of 213010430013 in words is "two hundred thirteen billion, ten million, four hundred thirty thousand, thirteen".