10130313131424 has 144 divisors (see below), whose sum is σ = 28865915998920. Its totient is φ = 3369994813440.

The previous prime is 10130313131423. The next prime is 10130313131431. The reversal of 10130313131424 is 42413131303101.

10130313131424 is a `hidden beast` number, since 1 + 0 + 1 + 30 + 313 + 1 + 314 + 2 + 4 = 666.

10130313131424 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 4 ways, for example, as 9706340250000 + 423972881424 = 3115500^2 + 651132^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (10130313131423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 894187392 + ... + 894198720.

Almost surely, 2^{10130313131424} 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 10130313131424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14432957999460).

10130313131424 is an abundant number, since it is smaller than the sum of its proper divisors (18735602867496).

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

10130313131424 is a wasteful number, since it uses less digits than its factorization.

10130313131424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17303 (or 17292 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 10130313131424 its reverse (42413131303101), we get a palindrome (52543444434525).

The spelling of 10130313131424 in words is "ten trillion, one hundred thirty billion, three hundred thirteen million, one hundred thirty-one thousand, four hundred twenty-four".