10130443134000 has 320 divisors, whose sum is σ = 37959000468480. Its totient is φ = 2276283033600.

The previous prime is 10130443133989. The next prime is 10130443134079. The reversal of 10130443134000 is 43134403101.

10130443134000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 433924 + ... + 4522076.

It is an arithmetic number, because the mean of its divisors is an integer number (118621876464).

Almost surely, 2^{10130443134000} is an apocalyptic number.

10130443134000 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 10130443134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18979500234240).

10130443134000 is an abundant number, since it is smaller than the sum of its proper divisors (27828557334480).

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

10130443134000 is a wasteful number, since it uses less digits than its factorization.

10130443134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4088245 (or 4088229 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10130443134000 its reverse (43134403101), we get a palindrome (10173577537101).

The spelling of 10130443134000 in words is "ten trillion, one hundred thirty billion, four hundred forty-three million, one hundred thirty-four thousand".