213201323102313 has 192 divisors, whose sum is σ = 389755949506560. Its totient is φ = 109308378825216.

The previous prime is 213201323102311. The next prime is 213201323102333. The reversal of 213201323102313 is 313201323102312.

213201323102313 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 0 + 1 + 32 + 310 + 2 + 313 = 666.

It is not a de Polignac number, because 213201323102313 - 2¹ = 213201323102311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213201323102311) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5422604731 + ... + 5422644047.

It is an arithmetic number, because the mean of its divisors is an integer number (2029978903680).

Almost surely, 2^{213201323102313} is an apocalyptic number.

It is an amenable number.

213201323102313 is a deficient number, since it is larger than the sum of its proper divisors (176554626404247).

213201323102313 is a wasteful number, since it uses less digits than its factorization.

213201323102313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40356 (or 40353 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 213201323102313 its reverse (313201323102312), we get a palindrome (526402646204625).

Subtracting 213201323102313 from its reverse (313201323102312), we obtain a palindrome (99999999999999).

The spelling of 213201323102313 in words is "two hundred thirteen trillion, two hundred one billion, three hundred twenty-three million, one hundred two thousand, three hundred thirteen".