213322221101313 has 12 divisors (see below), whose sum is σ = 308133174295908. Its totient is φ = 142214316921600.

The previous prime is 213322221101239. The next prime is 213322221101441. The reversal of 213322221101313 is 313101122223312.

213322221101313 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 22 + 221 + 101 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52415456981904 + 160906764119409 = 7239852^2 + 12684903^2 .

It is not a de Polignac number, because 213322221101313 - 2¹⁷ = 213322220970241 is a prime.

It is a super-2 number, since 2×213322221101313² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213322221101113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38701788 + ... + 43868813.

It is an arithmetic number, because the mean of its divisors is an integer number (25677764524659).

Almost surely, 2^{213322221101313} is an apocalyptic number.

It is an amenable number.

213322221101313 is a deficient number, since it is larger than the sum of its proper divisors (94810953194595).

213322221101313 is a wasteful number, since it uses less digits than its factorization.

213322221101313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82857664 (or 82857661 counting only the distinct ones).

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

Adding to 213322221101313 its reverse (313101122223312), we get a palindrome (526423343324625).

The spelling of 213322221101313 in words is "two hundred thirteen trillion, three hundred twenty-two billion, two hundred twenty-one million, one hundred one thousand, three hundred thirteen".