213103032312313 has 32 divisors (see below), whose sum is σ = 255112918744320. Its totient is φ = 175432728656640.

The previous prime is 213103032312301. The next prime is 213103032312343. The reversal of 213103032312313 is 313213230301312.

It is a happy number.

It is not a de Polignac number, because 213103032312313 - 2¹⁷ = 213103032181241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213103032312343) 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 31 ways as a sum of consecutive naturals, for example, 62168823 + ... + 65507011.

It is an arithmetic number, because the mean of its divisors is an integer number (7972278710760).

Almost surely, 2^{213103032312313} is an apocalyptic number.

It is an amenable number.

213103032312313 is a deficient number, since it is larger than the sum of its proper divisors (42009886432007).

213103032312313 is a wasteful number, since it uses less digits than its factorization.

213103032312313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3346689.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 213103032312313 its reverse (313213230301312), we get a palindrome (526316262613625).

The spelling of 213103032312313 in words is "two hundred thirteen trillion, one hundred three billion, thirty-two million, three hundred twelve thousand, three hundred thirteen".