212101313333311 has 16 divisors (see below), whose sum is σ = 215789013816768. Its totient is φ = 208445303808000.

The previous prime is 212101313333303. The next prime is 212101313333383. The reversal of 212101313333311 is 113333313101212.

It is a happy number.

212101313333311 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 212101313333311 - 2³ = 212101313333303 is a prime.

It is a super-3 number, since 3×212101313333311³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 212101313333311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212101313331311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35815671 + ... + 41315431.

It is an arithmetic number, because the mean of its divisors is an integer number (13486813363548).

Almost surely, 2^{212101313333311} is an apocalyptic number.

212101313333311 is a deficient number, since it is larger than the sum of its proper divisors (3687700483457).

212101313333311 is a wasteful number, since it uses less digits than its factorization.

212101313333311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5502642.

The product of its (nonzero) digits is 2916, while the sum is 28.

Adding to 212101313333311 its reverse (113333313101212), we get a palindrome (325434626434523).

The spelling of 212101313333311 in words is "two hundred twelve trillion, one hundred one billion, three hundred thirteen million, three hundred thirty-three thousand, three hundred eleven".