213432320024 has 256 divisors, whose sum is σ = 534730014720. Its totient is φ = 77404884480.

The previous prime is 213432319927. The next prime is 213432320033. The reversal of 213432320024 is 420023234312.

It is a junction number, because it is equal to n+sod(n) for n = 213432319975 and 213432320002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131180699 + ... + 131182325.

It is an arithmetic number, because the mean of its divisors is an integer number (2088789120).

Almost surely, 2^213432320024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213432320024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267365007360).

213432320024 is an abundant number, since it is smaller than the sum of its proper divisors (321297694696).

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

213432320024 is a wasteful number, since it uses less digits than its factorization.

213432320024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 213432320024 its reverse (420023234312), we get a palindrome (633455554336).

The spelling of 213432320024 in words is "two hundred thirteen billion, four hundred thirty-two million, three hundred twenty thousand, twenty-four".