213200142 has 32 divisors (see below), whose sum is σ = 441327744. Its totient is φ = 68608800.

The previous prime is 213200137. The next prime is 213200147. The reversal of 213200142 is 241002312.

213200142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213200137) and next prime (213200147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213200147) 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, 25417 + ... + 32747.

It is an arithmetic number, because the mean of its divisors is an integer number (13791492).

Almost surely, 2^213200142 is an apocalyptic number.

213200142 is an abundant number, since it is smaller than the sum of its proper divisors (228127602).

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

213200142 is a wasteful number, since it uses less digits than its factorization.

213200142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7504.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 213200142 is about 14601.3746613119. The cubic root of 213200142 is about 597.3962560962.

Adding to 213200142 its reverse (241002312), we get a palindrome (454202454).

The spelling of 213200142 in words is "two hundred thirteen million, two hundred thousand, one hundred forty-two".