213112323223101 has 8 divisors (see below), whose sum is σ = 315721960330560. Its totient is φ = 142074882148716.

The previous prime is 213112323222871. The next prime is 213112323223127. The reversal of 213112323223101 is 101322323211312.

213112323223101 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 1 + 2 + 323 + 22 + 310 + 1 = 666.

It is not a de Polignac number, because 213112323223101 - 2³¹ = 213110175739453 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 7893049008263 = 213112323223101 / (2 + 1 + 3 + 1 + 1 + 2 + 3 + 2 + 3 + 2 + 2 + 3 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213112323223801) 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 7 ways as a sum of consecutive naturals, for example, 3946524504105 + ... + 3946524504158.

It is an arithmetic number, because the mean of its divisors is an integer number (39465245041320).

Almost surely, 2^{213112323223101} is an apocalyptic number.

It is an amenable number.

213112323223101 is a deficient number, since it is larger than the sum of its proper divisors (102609637107459).

213112323223101 is an equidigital number, since it uses as much as digits as its factorization.

213112323223101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7893049008272 (or 7893049008266 counting only the distinct ones).

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

Adding to 213112323223101 its reverse (101322323211312), we get a palindrome (314434646434413).

The spelling of 213112323223101 in words is "two hundred thirteen trillion, one hundred twelve billion, three hundred twenty-three million, two hundred twenty-three thousand, one hundred one".