213400000000000 has 624 divisors, whose sum is σ = 587928220248096. Its totient is φ = 76800000000000.

The previous prime is 213399999999947. The next prime is 213400000000081. The reversal of 213400000000000 is 4312.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 213399999999896 and 213399999999905.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2199999999952 + ... + 2200000000048.

It is an arithmetic number, because the mean of its divisors is an integer number (942192660654).

Almost surely, 2^{213400000000000} is an apocalyptic number.

213400000000000 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 213400000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293964110124048).

213400000000000 is an abundant number, since it is smaller than the sum of its proper divisors (374528220248096).

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

213400000000000 is an frugal number, since it uses more digits than its factorization.

213400000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 213400000000000 its reverse (4312), we get a palindrome (213400000004312).

The spelling of 213400000000000 in words is "two hundred thirteen trillion, four hundred billion", and thus it is an aban number.