213112102223313 has 48 divisors (see below), whose sum is σ = 309057740759040. Its totient is φ = 141508534920192.

The previous prime is 213112102223311. The next prime is 213112102223411. The reversal of 213112102223313 is 313322201211312.

213112102223313 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 121 + 0 + 2 + 223 + 313 = 666.

213112102223313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213112102223313 - 2¹ = 213112102223311 is a prime.

It is a super-2 number, since 2×213112102223313² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213112102223311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8838046345 + ... + 8838070457.

It is an arithmetic number, because the mean of its divisors is an integer number (6438702932480).

Almost surely, 2^{213112102223313} is an apocalyptic number.

It is an amenable number.

213112102223313 is a deficient number, since it is larger than the sum of its proper divisors (95945638535727).

213112102223313 is a wasteful number, since it uses less digits than its factorization.

213112102223313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27758 (or 27755 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 213112102223313 its reverse (313322201211312), we get a palindrome (526434303434625).

The spelling of 213112102223313 in words is "two hundred thirteen trillion, one hundred twelve billion, one hundred two million, two hundred twenty-three thousand, three hundred thirteen".