213002120000 has 280 divisors, whose sum is σ = 544008161664. Its totient is φ = 82679296000.

The previous prime is 213002119991. The next prime is 213002120011. The reversal of 213002120000 is 21200312.

It is a happy number.

213002120000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 257559587 + ... + 257560413.

Almost surely, 2^213002120000 is an apocalyptic number.

213002120000 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 213002120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272004080832).

213002120000 is an abundant number, since it is smaller than the sum of its proper divisors (331006041664).

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

213002120000 is an equidigital number, since it uses as much as digits as its factorization.

213002120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 213002120000 its reverse (21200312), we get a palindrome (213023320312).

The spelling of 213002120000 in words is "two hundred thirteen billion, two million, one hundred twenty thousand".