213031123200 has 864 divisors, whose sum is σ = 923695046400. Its totient is φ = 47006023680.

The previous prime is 213031123157. The next prime is 213031123247. The reversal of 213031123200 is 2321130312.

213031123200 is a `hidden beast` number, since 2 + 1 + 30 + 311 + 2 + 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 95 ways as a sum of consecutive naturals, for example, 35075364 + ... + 35081436.

Almost surely, 2^213031123200 is an apocalyptic number.

213031123200 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 213031123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461847523200).

213031123200 is an abundant number, since it is smaller than the sum of its proper divisors (710663923200).

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

213031123200 is a wasteful number, since it uses less digits than its factorization.

213031123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6144 (or 6119 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213031123200 its reverse (2321130312), we get a palindrome (215352253512).

The spelling of 213031123200 in words is "two hundred thirteen billion, thirty-one million, one hundred twenty-three thousand, two hundred".