10213527344 has 40 divisors (see below), whose sum is σ = 20508687360. Its totient is φ = 4922280000.

The previous prime is 10213527341. The next prime is 10213527391. The reversal of 10213527344 is 44372531201.

It is a super-2 number, since 2×10213527344² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10213527344.

It is not an unprimeable number, because it can be changed into a prime (10213527341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83477 + ... + 165515.

It is an arithmetic number, because the mean of its divisors is an integer number (512717184).

Almost surely, 2^10213527344 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 10213527344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10254343680).

10213527344 is an abundant number, since it is smaller than the sum of its proper divisors (10295160016).

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

10213527344 is a wasteful number, since it uses less digits than its factorization.

10213527344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82329 (or 82323 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The spelling of 10213527344 in words is "ten billion, two hundred thirteen million, five hundred twenty-seven thousand, three hundred forty-four".