10131144320 has 128 divisors (see below), whose sum is σ = 26483345280. Its totient is φ = 3675443200.

The previous prime is 10131144281. The next prime is 10131144323. The reversal of 10131144320 is 2344113101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10131144292 and 10131144301.

It is not an unprimeable number, because it can be changed into a prime (10131144323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3539690 + ... + 3542550.

It is an arithmetic number, because the mean of its divisors is an integer number (206901135).

Almost surely, 2^10131144320 is an apocalyptic number.

10131144320 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 10131144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13241672640).

10131144320 is an abundant number, since it is smaller than the sum of its proper divisors (16352200960).

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

10131144320 is a wasteful number, since it uses less digits than its factorization.

10131144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3394 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10131144320 its reverse (2344113101), we get a palindrome (12475257421).

It can be divided in two parts, 10131 and 144320, that added together give a palindrome (154451).

The spelling of 10131144320 in words is "ten billion, one hundred thirty-one million, one hundred forty-four thousand, three hundred twenty".