213210103200000 has 648 divisors, whose sum is σ = 719438056642368. Its totient is φ = 56052057600000.

The previous prime is 213210103199987. The next prime is 213210103200077. The reversal of 213210103200000 is 2301012312.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 12098391189 + ... + 12098408811.

Almost surely, 2^{213210103200000} is an apocalyptic number.

213210103200000 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 213210103200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359719028321184).

213210103200000 is an abundant number, since it is smaller than the sum of its proper divisors (506227953442368).

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

213210103200000 is an frugal number, since it uses more digits than its factorization.

213210103200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17809 (or 17704 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 213210103200000 its reverse (2301012312), we get a palindrome (213212404212312).

The spelling of 213210103200000 in words is "two hundred thirteen trillion, two hundred ten billion, one hundred three million, two hundred thousand".