10320213344 has 192 divisors, whose sum is σ = 24836668416. Its totient is φ = 4126408704.

The previous prime is 10320213331. The next prime is 10320213347. The reversal of 10320213344 is 44331202301.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10320213347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53472512 + ... + 53472704.

It is an arithmetic number, because the mean of its divisors is an integer number (129357648).

Almost surely, 2^10320213344 is an apocalyptic number.

10320213344 is a gapful number since it is divisible by the number (14) 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 10320213344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12418334208).

10320213344 is an abundant number, since it is smaller than the sum of its proper divisors (14516455072).

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

10320213344 is a wasteful number, since it uses less digits than its factorization.

10320213344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 10320213344 its reverse (44331202301), we get a palindrome (54651415645).

The spelling of 10320213344 in words is "ten billion, three hundred twenty million, two hundred thirteen thousand, three hundred forty-four".