10131334144 has 176 divisors, whose sum is σ = 22284460800. Its totient is φ = 4585291776.

The previous prime is 10131334141. The next prime is 10131334153. The reversal of 10131334144 is 44143313101.

It is a happy number.

10131334144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131334141) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 72887227 + ... + 72887365.

Almost surely, 2^10131334144 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 10131334144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11142230400).

10131334144 is an abundant number, since it is smaller than the sum of its proper divisors (12153126656).

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

10131334144 is a wasteful number, since it uses less digits than its factorization.

10131334144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 10131334144 its reverse (44143313101), we get a palindrome (54274647245).

The spelling of 10131334144 in words is "ten billion, one hundred thirty-one million, three hundred thirty-four thousand, one hundred forty-four".