213213132000 has 432 divisors, whose sum is σ = 831754372176. Its totient is φ = 51686976000.

The previous prime is 213213131981. The next prime is 213213132023. The reversal of 213213132000 is 231312312.

213213132000 is a `hidden beast` number, since 21 + 321 + 3 + 1 + 320 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4331527 + ... + 4380473.

It is an arithmetic number, because the mean of its divisors is an integer number (1925357343).

Almost surely, 2^213213132000 is an apocalyptic number.

213213132000 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 213213132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415877186088).

213213132000 is an abundant number, since it is smaller than the sum of its proper divisors (618541240176).

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

213213132000 is a wasteful number, since it uses less digits than its factorization.

213213132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49000 (or 48968 counting only the distinct ones).

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

Adding to 213213132000 its reverse (231312312), we get a palindrome (213444444312).

The spelling of 213213132000 in words is "two hundred thirteen billion, two hundred thirteen million, one hundred thirty-two thousand".