212333122013 has 8 divisors (see below), whose sum is σ = 216393694776. Its totient is φ = 208274560000.

The previous prime is 212333122003. The next prime is 212333122021. The reversal of 212333122013 is 310221333212.

It can be written as a sum of positive squares in 4 ways, for example, as 385219129 + 211947902884 = 19627^2 + 460378^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212333122013 - 2¹² = 212333117917 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 212333122013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212333122003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288608 + ... + 712713.

It is an arithmetic number, because the mean of its divisors is an integer number (27049211847).

Almost surely, 2^212333122013 is an apocalyptic number.

It is an amenable number.

212333122013 is a deficient number, since it is larger than the sum of its proper divisors (4060572763).

212333122013 is a wasteful number, since it uses less digits than its factorization.

212333122013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005375.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 212333122013 its reverse (310221333212), we get a palindrome (522554455225).

The spelling of 212333122013 in words is "two hundred twelve billion, three hundred thirty-three million, one hundred twenty-two thousand, thirteen".