10140131120 has 80 divisors (see below), whose sum is σ = 27064934400. Its totient is φ = 3460983552.

The previous prime is 10140131119. The next prime is 10140131123. The reversal of 10140131120 is 2113104101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10140131095 and 10140131104.

It is not an unprimeable number, because it can be changed into a prime (10140131123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84281 + ... + 165479.

It is an arithmetic number, because the mean of its divisors is an integer number (338311680).

Almost surely, 2^10140131120 is an apocalyptic number.

10140131120 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 10140131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13532467200).

10140131120 is an abundant number, since it is smaller than the sum of its proper divisors (16924803280).

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

10140131120 is a wasteful number, since it uses less digits than its factorization.

10140131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81442 (or 81436 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10140131120 its reverse (2113104101), we get a palindrome (12253235221).

The spelling of 10140131120 in words is "ten billion, one hundred forty million, one hundred thirty-one thousand, one hundred twenty".