213024103200 has 864 divisors, whose sum is σ = 837066799296. Its totient is φ = 52672757760.

The previous prime is 213024103139. The next prime is 213024103211. The reversal of 213024103200 is 2301420312.

213024103200 is a `hidden beast` number, since 2 + 1 + 302 + 41 + 0 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 143 ways as a sum of consecutive naturals, for example, 241249959 + ... + 241250841.

It is an arithmetic number, because the mean of its divisors is an integer number (968827314).

Almost surely, 2^213024103200 is an apocalyptic number.

213024103200 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 213024103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418533399648).

213024103200 is an abundant number, since it is smaller than the sum of its proper divisors (624042696096).

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

213024103200 is a wasteful number, since it uses less digits than its factorization.

213024103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 213024103200 its reverse (2301420312), we get a palindrome (215325523512).

The spelling of 213024103200 in words is "two hundred thirteen billion, twenty-four million, one hundred three thousand, two hundred".