213142112 has 72 divisors (see below), whose sum is σ = 450424800. Its totient is φ = 99160320.

The previous prime is 213142103. The next prime is 213142121. The reversal of 213142112 is 211241312.

It is an interprime number because it is at equal distance from previous prime (213142103) and next prime (213142121).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 891689 + ... + 891927.

It is an arithmetic number, because the mean of its divisors is an integer number (6255900).

Almost surely, 2^213142112 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 213142112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225212400).

213142112 is an abundant number, since it is smaller than the sum of its proper divisors (237282688).

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

213142112 is a wasteful number, since it uses less digits than its factorization.

213142112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 301 counting only the distinct ones).

The product of its digits is 96, while the sum is 17.

The square root of 213142112 is about 14599.3873844076. The cubic root of 213142112 is about 597.3420502997.

Adding to 213142112 its reverse (211241312), we get a palindrome (424383424).

The spelling of 213142112 in words is "two hundred thirteen million, one hundred forty-two thousand, one hundred twelve".