10130120000000 has 1920 divisors, whose sum is σ = 35715396068352. Its totient is φ = 2787840000000.

The previous prime is 10130119999997. The next prime is 10130120000047. The reversal of 10130120000000 is 2103101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 440439999989 + ... + 440440000011.

Almost surely, 2^{10130120000000} is an apocalyptic number.

10130120000000 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 10130120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17857698034176).

10130120000000 is an abundant number, since it is smaller than the sum of its proper divisors (25585276068352).

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

10130120000000 is an frugal number, since it uses more digits than its factorization.

10130120000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 10130120000000 its reverse (2103101), we get a palindrome (10130122103101).

The spelling of 10130120000000 in words is "ten trillion, one hundred thirty billion, one hundred twenty million", and thus it is an aban number.