213130800 has 180 divisors, whose sum is σ = 750679384. Its totient is φ = 55987200.

The previous prime is 213130783. The next prime is 213130817. The reversal of 213130800 is 8031312.

It is a Cunningham number, because it is equal to 14599²-1.

It is an interprime number because it is at equal distance from previous prime (213130783) and next prime (213130817).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 262395 + ... + 263205.

Almost surely, 2^213130800 is an apocalyptic number.

213130800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213130800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375339692).

213130800 is an abundant number, since it is smaller than the sum of its proper divisors (537548584).

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

213130800 is a wasteful number, since it uses less digits than its factorization.

213130800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 213130800 is about 14598.9999657511. Note that the first 4 decimals coincide. The cubic root of 213130800 is about 597.3314826199.

The spelling of 213130800 in words is "two hundred thirteen million, one hundred thirty thousand, eight hundred".