213419700000 has 1728 divisors, whose sum is σ = 919012741920. Its totient is φ = 46448640000.

The previous prime is 213419699989. The next prime is 213419700001. The reversal of 213419700000 is 7914312.

It can be written as a sum of positive squares in 48 ways, for example, as 202316441616 + 11103258384 = 449796^2 + 105372^2 .

It is not an unprimeable number, because it can be changed into a prime (213419700001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5768099982 + ... + 5768100018.

Almost surely, 2^213419700000 is an apocalyptic number.

213419700000 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 213419700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459506370960).

213419700000 is an abundant number, since it is smaller than the sum of its proper divisors (705593041920).

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

213419700000 is a wasteful number, since it uses less digits than its factorization.

213419700000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 213419700000 in words is "two hundred thirteen billion, four hundred nineteen million, seven hundred thousand".