214313101313412 has 192 divisors, whose sum is σ = 536759229726720. Its totient is φ = 66314944819200.

The previous prime is 214313101313369. The next prime is 214313101313453.

It is a happy number.

214313101313412 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 214313101313412.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 28232521737 + ... + 28232529327.

It is an arithmetic number, because the mean of its divisors is an integer number (2795620988160).

Almost surely, 2^{214313101313412} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214313101313412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268379614863360).

214313101313412 is an abundant number, since it is smaller than the sum of its proper divisors (322446128413308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214313101313412 is a wasteful number, since it uses less digits than its factorization.

214313101313412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11362 (or 11360 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

It can be divided in two parts, 21431310 and 1313412, that added together give a palindrome (22744722).

The spelling of 214313101313412 in words is "two hundred fourteen trillion, three hundred thirteen billion, one hundred one million, three hundred thirteen thousand, four hundred twelve".