213012122013 has 6 divisors (see below), whose sum is σ = 307684176254. Its totient is φ = 142008081336.

The previous prime is 213012122009. The next prime is 213012122077. The reversal of 213012122013 is 310221210312.

It can be written as a sum of positive squares in only one way, i.e., 206736630489 + 6275491524 = 454683^2 + 79218^2 .

It is not a de Polignac number, because 213012122013 - 2² = 213012122009 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 (213012129013) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11834006770 + ... + 11834006787.

Almost surely, 2^213012122013 is an apocalyptic number.

It is an amenable number.

213012122013 is a deficient number, since it is larger than the sum of its proper divisors (94672054241).

213012122013 is a wasteful number, since it uses less digits than its factorization.

213012122013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23668013563 (or 23668013560 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213012122013 its reverse (310221210312), we get a palindrome (523233332325).

The spelling of 213012122013 in words is "two hundred thirteen billion, twelve million, one hundred twenty-two thousand, thirteen".