213130420000 has 240 divisors, whose sum is σ = 556474121280. Its totient is φ = 80153216000.

The previous prime is 213130419979. The next prime is 213130420031. The reversal of 213130420000 is 24031312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 27136074 + ... + 27143926.

It is an arithmetic number, because the mean of its divisors is an integer number (2318642172).

Almost surely, 2^213130420000 is an apocalyptic number.

213130420000 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 213130420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278237060640).

213130420000 is an abundant number, since it is smaller than the sum of its proper divisors (343343701280).

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

213130420000 is an equidigital number, since it uses as much as digits as its factorization.

213130420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7965 (or 7942 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 213130420000 its reverse (24031312), we get a palindrome (213154451312).

The spelling of 213130420000 in words is "two hundred thirteen billion, one hundred thirty million, four hundred twenty thousand".