10123201320 has 128 divisors (see below), whose sum is σ = 30919985280. Its totient is φ = 2650752000.

The previous prime is 10123201289. The next prime is 10123201339. The reversal of 10123201320 is 2310232101.

10123201320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10123201320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8571130 + ... + 8572310.

It is an arithmetic number, because the mean of its divisors is an integer number (241562385).

Almost surely, 2^10123201320 is an apocalyptic number.

10123201320 is a gapful number since it is divisible by the number (10) 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 10123201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15459992640).

10123201320 is an abundant number, since it is smaller than the sum of its proper divisors (20796783960).

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

10123201320 is a wasteful number, since it uses less digits than its factorization.

10123201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10123201320 its reverse (2310232101), we get a palindrome (12433433421).

The spelling of 10123201320 in words is "ten billion, one hundred twenty-three million, two hundred one thousand, three hundred twenty".