10130013440 has 36 divisors (see below), whose sum is σ = 24264550884. Its totient is φ = 4052004864.

The previous prime is 10130013433. The next prime is 10130013473. The reversal of 10130013440 is 4431003101.

10130013440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2450646016 + 7679367424 = 49504^2 + 87632^2 .

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 3955757 + ... + 3958316.

Almost surely, 2^10130013440 is an apocalyptic number.

10130013440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10130013440 is an abundant number, since it is smaller than the sum of its proper divisors (14134537444).

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

10130013440 is an frugal number, since it uses more digits than its factorization.

10130013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7914094 (or 7914080 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10130013440 its reverse (4431003101), we get a palindrome (14561016541).

The spelling of 10130013440 in words is "ten billion, one hundred thirty million, thirteen thousand, four hundred forty".