10324213135344 has 220 divisors, whose sum is σ = 30034253999200. Its totient is φ = 3438000951552.

The previous prime is 10324213135343. The next prime is 10324213135367. The reversal of 10324213135344 is 44353131242301.

10324213135344 is a `hidden beast` number, since 10 + 3 + 242 + 1 + 31 + 35 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10324213135299 and 10324213135308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10324213135343) by changing a digit.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 1066656297 + ... + 1066665975.

It is an arithmetic number, because the mean of its divisors is an integer number (136519336360).

Almost surely, 2^{10324213135344} 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 10324213135344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15017126999600).

10324213135344 is an abundant number, since it is smaller than the sum of its proper divisors (19710040863856).

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

10324213135344 is an frugal number, since it uses more digits than its factorization.

10324213135344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10846 (or 10813 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 10324213135344 its reverse (44353131242301), we get a palindrome (54677344377645).

The spelling of 10324213135344 in words is "ten trillion, three hundred twenty-four billion, two hundred thirteen million, one hundred thirty-five thousand, three hundred forty-four".