213214341096 has 192 divisors, whose sum is σ = 604669665600. Its totient is φ = 70383126528.

The previous prime is 213214341091. The next prime is 213214341149. The reversal of 213214341096 is 690143412312.

213214341096 is a `hidden beast` number, since 2 + 13 + 2 + 143 + 410 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 213214341096.

It is not an unprimeable number, because it can be changed into a prime (213214341091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107737435 + ... + 107739413.

It is an arithmetic number, because the mean of its divisors is an integer number (3149321175).

Almost surely, 2^213214341096 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 213214341096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302334832800).

213214341096 is an abundant number, since it is smaller than the sum of its proper divisors (391455324504).

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

213214341096 is a wasteful number, since it uses less digits than its factorization.

213214341096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 213214341096 in words is "two hundred thirteen billion, two hundred fourteen million, three hundred forty-one thousand, ninety-six".