212201320013 has 32 divisors (see below), whose sum is σ = 244944259200. Its totient is φ = 182474256384.

The previous prime is 212201319989. The next prime is 212201320021. The reversal of 212201320013 is 310023102212.

212201320013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 212201320013 - 2³⁴ = 195021450829 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212201319973 and 212201320000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212201320043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8483381 + ... + 8508357.

It is an arithmetic number, because the mean of its divisors is an integer number (7654508100).

Almost surely, 2^212201320013 is an apocalyptic number.

It is an amenable number.

212201320013 is a deficient number, since it is larger than the sum of its proper divisors (32742939187).

212201320013 is a wasteful number, since it uses less digits than its factorization.

212201320013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25949.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 212201320013 its reverse (310023102212), we get a palindrome (522224422225).

The spelling of 212201320013 in words is "two hundred twelve billion, two hundred one million, three hundred twenty thousand, thirteen".