213434323104 has 96 divisors (see below), whose sum is σ = 573845912640. Its totient is φ = 69439721472.

The previous prime is 213434323073. The next prime is 213434323121. The reversal of 213434323104 is 401323434312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 548872 + ... + 853304.

It is an arithmetic number, because the mean of its divisors is an integer number (5977561590).

Almost surely, 2^213434323104 is an apocalyptic number.

213434323104 is a gapful number since it is divisible by the number (24) 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 213434323104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286922956320).

213434323104 is an abundant number, since it is smaller than the sum of its proper divisors (360411589536).

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

213434323104 is a wasteful number, since it uses less digits than its factorization.

213434323104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304622 (or 304614 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 213434323104 its reverse (401323434312), we get a palindrome (614757757416).

The spelling of 213434323104 in words is "two hundred thirteen billion, four hundred thirty-four million, three hundred twenty-three thousand, one hundred four".