10130011200000 has 960 divisors, whose sum is σ = 37681072007040. Its totient is φ = 2686832640000.

The previous prime is 10130011199981. The next prime is 10130011200017. The reversal of 10130011200000 is 211003101.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 95 ways as a sum of consecutive naturals, for example, 9806399484 + ... + 9806400516.

It is an arithmetic number, because the mean of its divisors is an integer number (39251116674).

Almost surely, 2^{10130011200000} is an apocalyptic number.

10130011200000 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 10130011200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18840536003520).

10130011200000 is an abundant number, since it is smaller than the sum of its proper divisors (27551060807040).

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

10130011200000 is an frugal number, since it uses more digits than its factorization.

10130011200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10130011200000 its reverse (211003101), we get a palindrome (10130222203101).

The spelling of 10130011200000 in words is "ten trillion, one hundred thirty billion, eleven million, two hundred thousand".