213000131200 has 192 divisors, whose sum is σ = 540253501920. Its totient is φ = 82945740800.

The previous prime is 213000131167. The next prime is 213000131207. The reversal of 213000131200 is 2131000312.

It is not an unprimeable number, because it can be changed into a prime (213000131207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22212807 + ... + 22222393.

Almost surely, 2^213000131200 is an apocalyptic number.

213000131200 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 213000131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270126750960).

213000131200 is an abundant number, since it is smaller than the sum of its proper divisors (327253370720).

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

213000131200 is a wasteful number, since it uses less digits than its factorization.

213000131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9795 (or 9778 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 213000131200 its reverse (2131000312), we get a palindrome (215131131512).

The spelling of 213000131200 in words is "two hundred thirteen billion, one hundred thirty-one thousand, two hundred".