10130003130000 has 400 divisors, whose sum is σ = 35244078984576. Its totient is φ = 2491584000000.

The previous prime is 10130003129933. The next prime is 10130003130001. The reversal of 10130003130000 is 3130003101.

10130003130000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10130003130001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 533120500 + ... + 533139500.

Almost surely, 2^{10130003130000} is an apocalyptic number.

10130003130000 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 10130003130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17622039492288).

10130003130000 is an abundant number, since it is smaller than the sum of its proper divisors (25114075854576).

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

10130003130000 is a wasteful number, since it uses less digits than its factorization.

10130003130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20412 (or 20391 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 10130003130000 its reverse (3130003101), we get a palindrome (10133133133101).

The spelling of 10130003130000 in words is "ten trillion, one hundred thirty billion, three million, one hundred thirty thousand".