212122331212013 has 8 divisors (see below), whose sum is σ = 212370441041688. Its totient is φ = 211874235591744.

The previous prime is 212122331211953. The next prime is 212122331212073. The reversal of 212122331212013 is 310212133221212.

It is an interprime number because it is at equal distance from previous prime (212122331211953) and next prime (212122331212073).

It can be written as a sum of positive squares in 4 ways, for example, as 146346046385449 + 65776284826564 = 12097357^2 + 8110258^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212122331212013 - 2⁶ = 212122331211949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212122331212073) 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, 26469995 + ... + 33539607.

It is an arithmetic number, because the mean of its divisors is an integer number (26546305130211).

Almost surely, 2^{212122331212013} is an apocalyptic number.

It is an amenable number.

212122331212013 is a deficient number, since it is larger than the sum of its proper divisors (248109829675).

212122331212013 is an equidigital number, since it uses as much as digits as its factorization.

212122331212013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7104703.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 212122331212013 its reverse (310212133221212), we get a palindrome (522334464433225).

The spelling of 212122331212013 in words is "two hundred twelve trillion, one hundred twenty-two billion, three hundred thirty-one million, two hundred twelve thousand, thirteen".