213400340112 has 160 divisors (see below), whose sum is σ = 589584486400. Its totient is φ = 66316962816.

The previous prime is 213400340057. The next prime is 213400340117. The reversal of 213400340112 is 211043004312.

213400340112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (213400340117) 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, 22546293 + ... + 22555755.

It is an arithmetic number, because the mean of its divisors is an integer number (3684903040).

Almost surely, 2^213400340112 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 213400340112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294792243200).

213400340112 is an abundant number, since it is smaller than the sum of its proper divisors (376184146288).

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

213400340112 is a wasteful number, since it uses less digits than its factorization.

213400340112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9885 (or 9879 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 213400340112 its reverse (211043004312), we get a palindrome (424443344424).

The spelling of 213400340112 in words is "two hundred thirteen billion, four hundred million, three hundred forty thousand, one hundred twelve".