213130368 has 192 divisors, whose sum is σ = 679442400. Its totient is φ = 64120320.

The previous prime is 213130327. The next prime is 213130409. The reversal of 213130368 is 863031312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (213130327) and next prime (213130409).

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1533243 + ... + 1533381.

Almost surely, 2^213130368 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 213130368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339721200).

213130368 is an abundant number, since it is smaller than the sum of its proper divisors (466312032).

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

213130368 is a wasteful number, since it uses less digits than its factorization.

213130368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 213130368 is about 14598.9851702096. The cubic root of 213130368 is about 597.3310790377.

The spelling of 213130368 in words is "two hundred thirteen million, one hundred thirty thousand, three hundred sixty-eight".