213420340101000 has 512 divisors, whose sum is σ = 742251053606400. Its totient is φ = 50738083430400.

The previous prime is 213420340100971. The next prime is 213420340101029. The reversal of 213420340101000 is 101043024312.

213420340101000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213420340100971) and next prime (213420340101029).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11140583422 + ... + 11140602578.

It is an arithmetic number, because the mean of its divisors is an integer number (1449709089075).

Almost surely, 2^{213420340101000} is an apocalyptic number.

213420340101000 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 213420340101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371125526803200).

213420340101000 is an abundant number, since it is smaller than the sum of its proper divisors (528830713505400).

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

213420340101000 is a wasteful number, since it uses less digits than its factorization.

213420340101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30714 (or 30700 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 213420340101000 its reverse (101043024312), we get a palindrome (213521383125312).

The spelling of 213420340101000 in words is "two hundred thirteen trillion, four hundred twenty billion, three hundred forty million, one hundred one thousand".